A Detailed Lesson Plan in Mathematics Grade 7 Prepared by: Igloria F. Canonigo BSEDM
I - Objectives:
At the end end of the period, the the students students must be able to: 1. identify the base, coefficient, terms, and exponents in a given polynomial; 2. give examples of polynomials; 3. participate actively in class discussion and different learning activities. II – II – Subject Subject Matter: A. Topic:
Polynomials
B. References:
K to 12 Mathematics Curriculum Guide, page 89; Grade 7 Teachers’ Guide, Lesson 20.
III - Procedure
Teacher’s Activity Activity
Good morning, class.
Student’s Activity
Good morning, Mrs. Canonigo, Good morning classmates, Good morning.
Before you take your seats, kindly pick up some pieces of paper under your chairs. After that, make sure that your chairs are properly arranged. Okay that’s enough; you may now take your seats.
Thank you, Ma’am.
A. Review
Now, what was our lesson yesterday?
Our lesson yesterday was all about algebraic
Yes, Verboy?
expressions Ma’am.
Very good. What about algebraic expressions, what does it mean? Yes, Algebraic expressions expressions are group of terms Alvin?
separated by a plus and minus sign.
Very good. What have you learned from our discussion with regards to algebraic expressions yesterday? Yes, Hazel? What
about
the
concepts
We learned about the concepts of constants? of
constants? What does it entails?
It is a term in an algebraic expression that is a
Anyone? Yes, Marykane? Marykane?
number on its own.
Correct. What else? Yes, Raul?
It has no variable and its value does not change.
Very good. Now who can give me an example of a constant? Yes, Marjorie?
15 Ma ’am.
Very good. What else have you learned from our previous topic? Yes, Shiela Cynthia?
The concept of letters and variables, Ma’am.
Very good. And what about this concept? What A variable variable is a symbol usually letters that does it mean? Yes, Kristine?
represents a value or a number.
Very good. And what are the uses of these variables in some mathematical sentences or phrases? Yes, Rager? Very good. Yes, variables or letters in a mathematical sentence are used to represent the unknowns. For example:
They are used to represent the unknowns.
Let x be any real number. Find the value of the expression 3x if; a. x = 5 b. x =
If x=5, then 3x = 3(5) = 15.
If x=1⁄2, then 3x = 3(1⁄2) =
c. x = -0.25
⁄
If x=-0.25 then 3x = 3(-0.25) = -0.75
Very good, class. Letters such as x, y, n and etc. do not always have specific values assigned to them so in that case we will just simply think of them as any number. Is it understood?
Yes, Ma’am.
Are there any other concepts with regards to our previous topic?
The equal sign Ma’am.
Yes, Heartzeal? Yes, very good.
Equal signs do not only refers to getting an
What about the equal sign?
answer to an operation but it also mean that
Will you share it to us, Alvin?
expressions on either side have equal value.
Very good. Just like for example class if I will give you this expressions; a. 69 – 69 – 3 3 = ___ + 2
64 Ma’am, because 69-3 69 -3 = 66 and 64+2 = 66.
b. 27 x 2 = 60 - ___
6 Ma’am, because 27x2 = 54 and
Very
good.
Now,
anymore
clarifications or questions with regards to our past lesson?
None, Ma’am.
There is none. So, did you understand clearly now our previous topic? Very good.
Yes, Ma’am.
60-6 = 54.
B. Motivation
Before we proceed to our next topic, let us have first an activity, a group activity. Now, you will have to form your group according to the color of your name tags. Now, those belong to color yellow will occupy this side on my right, next at the back will be color green, at my left side is the blue group and at the back of them will be color pink. You may now go to your respective groups. Please vacate from your seats quietly and avoid unnecessary noise. Am I understood understood class? class?
Yes, Ma’am.
Are you in in your group group now? now?
Yes, Ye s, Ma’am
Okay, form a circle so that you will be facing each other. After other. After that, you have to select a leader, a secretary and a reporter in each group. Okay you may start now selecting. Are you done? done?
Yes, Ma’am
Leaders you may come here in front to get the necessary materials. And now, who wants to read the directions? Yes, Alfie Jay?
a. Find these following words written below inside the box. b. Just draw a line to connect the letters of words you have found.
Is it understood class?
Yes, Ma’am. Ma’am.
Please read carefully the instructions once again in your activity sheets so that you can follow it correctly. If you have questions just raise your right hand. Now, I will only give you three minutes to answer. Finish or unfinished you have to post your output on the board. After that, the assigned reporter of each group will present the output. Since this is a group activity, and I know very well that “Two heads are better than one,” so this will become easier for you if each of you will cooperate. Am I right?
Yes, Ma’am.
Okay, you may start now. Please behave
class.
Do
not
make
unnecessary noise for us not to disturb another class.
Activity Sheet Word Hunt I – Objective – Objective : To identify the base, coefficient, terms, exponents and other
terminologies regarding polynomials. . II – II – Procedure Procedure : 1. Find these following words written below inside the box. 2. Just draw a line to connect the letters.
BASE
DEGREE
LINEAR
COEFFICIENT
BINOMIAL
QUADRATIC
EXPONENT
MONOMIAL
QUINTIC
CONSTANT
TRINOMIAL
QUARTIC
TERM
POLYNOMIAL
CUBIC
P P C Q U A D R A T I C
C M O N O M I A L A U I
I E E L C R U E S A B T
T X F I Y I N Q O C I R
N P F N A N B P B U N A
I O I E P L O U D B O U
U N C A M M Q M C I M Q
Q E I R R T U V I N I R
Y N E B A S N T R A A T
N T N D E G R E E S L I
E S T R I N O M I A L C
T C O N S T A N T A C B
Are you done done class? class?
Not yet Ma’am.
Make it faster you only have 1 minute left. Okay, it’s time now. That’s enough. Kindly post your output on the board. I need two representatives from the group to make it. Well, let us see if you got all the words. Okay, let us hear from the Red Group.
Red group…
Now, from Yellow Group
Yellow group…
Next is from Blue Group.
Blue group…
And now let us hear from Pink Group. Last but not the least Green Group.
Pink group… Green group….
Very Good. You got it. Job well done class. Just bear in mind class all the words that you encounter in our previous activity, because, it is really necessary for our next lesson. And so, we will now proceed to our next topic.
C. Lesson Proper
Now who can guess what will be our topic for today? Do you have any idea? Yes, Jelly Mae?
Polynomials Ma’am?
Very good. Our
lesson
polynomials
for
today
and
its
is
all
about
classification
according to the number of terms and according to its degree.
I think you already are familiar with the terms now, because, they were included in our word hunt a while ago. But before we proceed to the discussion of our new topic, let us first know our lesson objectives for this day. Here are our objectives, class.
At the end of the period, students will be
Will you please read one, yes, Cesa?
able to; 1. identify the base, coefficient, terms and exponents in a given polynomials.
The next one, yes, Eric?
2. give examples of polynomials
The last one, yes, Jules?
3. participate actively in class discussion and different learning activities.
Are our objectives objectives made clear clear to you?
Yes, Ma’am.
Now, let’s proceed. Once again class, what is our topic for today?
Polynomials Ma’am…
Very good. By the way, do you know what a polynomial is? Do you have any idea? But before we are going to define what a polynomial really is, let us first tackle the different terminologies with regards to this matter. I have here an example of an algebraic expression. Example Based on this given example, can you
identify what are the given terms here? Yes, can you name one Jeff Lloyd?
Ma’am. Ma’am.
Yes., very good. Another one? one? Yes, Yes, Alren?
−x Ma’am.
Correct. Another term? Yes, Flordeliza?
5 Ma’am.
Very good. Now how many terms are there all in all? Yes, Hannah Grace?
3 terms Ma’am.
And what are those once again? Yes, Jarl Elton?
They are , -x, -x, and 5 Ma’am.
Very good. Now, how did you come up with such answers class? Did you know already what a term is?
No Ma’am it’s just a guess.
A guess? Well, very very good guess class! class! But for you to be able to understand it clearly let us define what really a term is. Will you please read the definition Mishiela?
A term is a constant, constant, a variable or a product of a constant and variable.
Yes, thank you. A term is a constant. constant. Can you still recall
Yes, Ma’am, it is a number on its own and
what a constant is? Yes, Raul?
has no variable.
Very good. From the given example what is the constant here? Yes, Jackyneth?
5 Ma’am.
Very good. Now, based on the definition, a term can also be a variable. By the way, what is a variable, once again? We had discussed it from our review a while ago. Yes, Erica?
A variable is a symbol usually letters which represents a value or a number.
Very good. Now based on this example, what is the given variable here? Yes, Ana Mae? Very good.
x Ma’am.
Now, in a term class, there is also what we call the numerical coefficient. Based in your own understanding, what part of a term that can be called as the numerical
It is the number part Ma’am?
coefficient? Yes, Jael? Yes. Because when we say numerical it refers to the number itself that is found in a term, right? With the given example, in the first term , what is the numerical 3 Ma’am.
coefficient here? Yes, Grace? Very good. How about in the second term which is –x, –x, do we have any numerical coefficient here?
None Ma’am.
Are you sure? sure?
Yes Ma’am
Always take note class that variables variables or letters
which
corresponding
do
not
numerical
have
any
coefficients,
always have a numerical coefficient which is 1. Always remember that. And since in this example which is –x, –x, we had a numerical coefficient which is what?
- 1 Ma’am.
Very good. Another thing is that a term also, class, has what we call a literal coefficient? Do you know what a literal coefficient is?
Yes, Ma’am.
Then what is it class? Who can define what a literal coefficient is? Yes?
It is the variable including its exponent.
Yes, that’s correct. correct. Based on the given example again , what is the given literal coefficient here? Yes, Alvin?
It’s
Ma’am.
Very good. And what is the base?
The variable x Ma’am.
And the exponent exponent? ?
It’s 2 Ma’am.
Very good. The exponent is the number
It determines on how many times a
that is written upright a variable. It usually
number or a variable would be multiplied
determines what? Yes, Dante?
by itself.
Now, moving on, algebraic expression has also its degree. Now how to determine its degree? Do you have any idea?
None Ma’am.
Well, we can determine its degree through
Degree is the highest exponent or highest
its exponent. Now, will you please read the
sum of exponents of the variables in a
definition of the degree, Julie Ann?
term.
Yes. The degree is the highest exponent or highest sum of exponents. Based on this example,
, what 2 Ma’am.
is its degree? Yes, Alfie Jay? Yes, very good since 2 is the highest exponent of this given expression. Now,
let
us
have
another
example.
. How many terms do we have class?
2 Ma’am.
Yes, it has 2 terms. Can you identify the first term? Yes, Grace?
How about the second term? Yes, Joyce?
Very good. Now that you have already identified the two terms, what is the degree of this given expression? Yes, Gene John?
7 Ma’am.
Is he correct?
Yes, Ma’am.
Will you please explain why, Daphne?
Because according to the definition that a degree is the highest exponent or highest
sum of exponents of the variables in a term. Since the second term has the larger exponents
so
we
simply
add
the
exponents which are 4 and 3 to come up with the answer which is 7. Very good. Did you understand class?
Yes, Ma’am.
Now, another terminology also that can be found in an algebraic expression is the similar term. Now, when we say similar what does it mean? Yes, Maris?
They are alike or the same or equal.
Very good. Well you know already what a term is, and what’s the meaning of similar is. Now who can give me an example of a similar term? Anybody from the group? group? Yes, Yes, Raul?
and .
Very good. That’s correct. Now what have you noticed? Why are they called similar terms? Yes, Faith Joyce?
They have the same literal coefficient.
Yes, you are right. Similar terms do have the same literal coefficients. Now, how about this following example.
Not similar Ma’am because they have
5x and , are they similar or not?
different literal coefficient.
Very Good. Now since we are through discussing
Polynomial
different terminologies with regards to
expression where each term is a constant,
algebraic expressions, now we’ll go back
a variable or a product of a constant and
to the definition of a polynomial which is
variable in which the variable has a whole
our topic for this day. Who will read its
number (non-negative number) exponent.
definition? Yes, Rager Mae?
is
a
kind
of
algebraic
Yes. A polynomial is a kind of an algebraic expression. But take note class, all polynomials are algebraic expressions but not all algebraic expressions are polynomials. Here are some examples of algebraic expressions which cannot be considered as polynomial: 1.
⁄ ,
why
is
this
example cannot be considered as
Because its exponent is not a whole
polynomial? Yes, Loribel?
number and it is a fraction.
Very good. Now another example, who will answer example no. 2? Why is it that this example could not be considered as polynomial? Yes, Kristine Jeck? 2.
√
Because the variable is inside the radical sign.
Very good. It cannot be considered as polynomial if the variable is inside the radical sign. By the way, where is the radical sign here? Yes, Evan Marie?
The square root sign Ma’am.
Yes, very good. And what variable variable that can be found inside it? Yes, Hannah Grace? Very good. Now, who wants to answer example no. 3? Yes, Ana Mae?
It’s the variable x.
This expression cannot be considered as 3.
polynomial because the variable is in the denominator which is x.
Probably, yes, every algebraic expression that has a variable in the denominator cannot be called as polynomial. Am I clear, class?
Yes, Ma’am.
Are you sure? Is there any clarification clarification or question? You may raise your questions now. If there is none so let’s proceed. And so, let’s move on. Polynomials are classified into two. Do you know what those are?
We don’t know Ma’am.
Well, you must listen carefully class. First classification is according to the number of terms. You know already how to determine if how many
terms
are
there
in
a
given
polynomial, right? There
are
four
Yes, Ma’am. kinds
of
polynomials
according to the number of terms. Now please read, Jenathan.
Polynomials according to the number of terms can either be; a) monomial b) binomial c) trinomial d) multinomial
Okay, thank you. You may now take your seat. I have here examples of polynomials, Tell me what kind of polynomials are the following and explain why, okay? Who will answer no. 1? Yes, Marjorie?
Yes, Ma’am.
1.
Why did you say that it is monomial?
Monomial Ma’am.
Because it has only one term Ma’am and from the term monomial, its prefix is mono which means one. So the answer is monomial.
Okay, very good. Did you understand her explanation class?
Yes, Ma’am.
Okay, very good. Did you understand her explanation class? 2.
Binomial Ma’am.
That’s correct. How did you come up to
The polynomial has two terms so from the
your answer?
prefix bi which means 2 so the answer is binomial.
Very good. And the next one? Yes, Roy? 3.
Trinomial Ma’am because from the prefix tri that means 3, and the polynomial given has 3 terms so it is a trinomial Ma’am.
Yes, you’re right. Okay, for the last example? Yes, Reymark? 4.
√
And why is it a multinomial? multinomial?
It is a multinomial multinomial Ma’am.
Because it has four or more terms which means multi or poly so the answer is multinomial.
Very good. Well, was it made clear to you class, regarding with the classification of polynomials according to the number of terms?
Yes, ma’am.
Very good. Just make sure class that you understand our lesson very well because later we will have an activity with regards to this matter. Am I clear?
Yes, Ma’am.
Now, let’s go to the next the second classification of polynomials which is the,
Classification according to its degree,
yes, Marjorie?
Ma’am.
Very good.
Now
here
are
the
classifications
Kinds of polynomial according to the
of
degree are:
polynomials according to its degree. Will
1. constant
you please read, Shiela Cynthia?
2. linear 3. quadratic 4. cubic 5. quartic 6. quantic
Yes, these are the kinds of polynomial according to the degree. Now, I have here some examples. Just label them using the kind of polynomials according to the degree. Is it understood class?
Yes, Ma’am.
Examples: 1. 50
2. 2x + 1
= ________________
= ________________
A constant, constant, polynomial polynomial od degree degree 0.
Linear, a polynomial of degree 1.
3.
= ________________
Quadratic, a polynomial of degree 2.
4.
Cubic, a polynomial of degree 3.
= ________________
5.
=___________
Quartic, a polynomial of degree 4
6.
=_______________
Quintic a polynomial of degree 5
7.
=___________
Polynomial of degree 8.
So far, the next degrees just like the example no. 7 have no universal name yet so they are just called a polynomial of degree _8_ and so on. Did I make sense, class?
Yes, Ma’am.
Now, another term that can be associated in
the
study
of
polynomials
is
the
Standard Form. Now, when can we say
class that a polynomial is in its Standard Form? Do you have any idea?
We don’t have any idea Ma’am.
I know this is not the first time that you have encountered this certain expressions or polynomials to be exact. Have you noticed class how it is usually written?
Or specifically, how it is being arranged?
The terms are being arranged Ma’am from
Yes, Mishiela?
the highest up to the lowest degree.
Yes, very well said Jessie. A polynomial polynomial is in its standard form if the terms are arranged from the highest up to its lowest degree.
For example:
Yes,
Ma’am
because
the
terms
are
arranged from the highest up to the lowest
Is it in its standard form class?
degree. Another example: , who will go to the board and indicate what
its standard form is? Yes, Ayne Jane? Very good. Now it is already in its standard form, who can identify what is the Leading Term here? Take note of the word that is being used which is leading. Now, can you tell me Alvin what is the leading term here?
Why is it so?
Because when we say leading Ma’am, it simply means the first or the top, in this polynomial since it is already in its standard form and comes first, it becomes the leading coefficient.
Very
good.
Aside from the leading term, what is its Leading Coefficient? Take note also of this, when we mention coefficient it only refers to the numerical coefficient alone.
So what is its leading coefficient, class? And why is that so? Yes, Loribel? Loribel?
- 19 Ma’am. Since
is
the leading term so its
numerical coefficient is also the leading coefficient. Very good.
And lastly class, what what will be the degree of this polynomial? Yes, Julie Ann?
The degree is 4 Ma’am because it is the exponent of the leading term.
Very well said.
D. Generalization
Now, Do you have any clarifications class?
None, Ma’am
Did you understand our lesson for today?
Yes, Ma’am.
Well, let us see if you understand clearly our
lesson
for
today,
I
have
some
questions for you. For me to check it out if how well did you understand our lesson. Let’s start. What
was
our
lesson
all
about?
Yes, Aljun?
It is all about polynomial Ma’am. Ma’am.
Now what was all about polynomials?
Polynomial is a kind of an algebraic
Yes?
expression where its term is a constant, a variable or a product of a constant and variable.
By the way, what is a term? Yes, Regil A term is a constant, constant, a variable or a Jean?
product of a constant and variable.
When we say constant, what does it refers
It refers to the term that is a number on its
to? Yes, Ana Mae?
own and has no variable.
Very good. And what about the variable? A variable is is a symbol usually usually letters letters which What is it all about? Yes Marjorie? What
other
characteristics
does
represents a number or a value. a
polynomial have? Yes, Raul? And what are those? those? Yes, Alren? Alren?
Polynomial has two classifications Ma’am. Polynomials Polynomials can be classified according to the number of terms Ma’am.
Very good. How about the other one, yes,
Can be classified also according to the
Grace?
degree, Ma’am. Ma’am .
Very good. Now
what
are
their
classifications According to the number number of terms we have
according to the number of terms? Yes,
monomial,
Dante?
polynomial or multinomial.
Very good.
They are constant, linear, quadratic, cubic,
How about its classification according to
quartic, quintic and polynomial of degree
the degree? Yes, Reymark?
binomial,
trinomial
and
____, Ma’am Ma’am if its degree degree is higher higher than 5 .
Very good. In what instance can a polynomial be
If the terms are arranged from the highest
considered as in its standard form? Yes,
up to the lowest degree.
Jackyneth? Correct. If a polynomial is in its standard
It’s the first term Ma’am.
form, which will become the leading term? Yes, Angel? And the Leading Leading coefficie coefficient nt will be? be?
The numerical coefficient coefficient of the leading term.
Very good. Since, you already understand our lesson for today, let’s move on, class.
E. Drills Activity Sheet (Individual) FLASH CARDS I - Objectives:
At the end of this activity activity students students must must be able able to; a) identify the kinds of polynomial according to the number of terms and the degree. II – II – Procedure: Procedure:
1. Tell whether what kind of polynomials are the following according to the number of terms. a.
= _______________________
b.
= _______________________
c.
= _______________________
d.
√
= _______________________
2. Tell whether what kind of polynomials are the following according to the degree. a.
= _______________________
b.
= _______________________
c.
= _______________________
d.
= _______________________
e.
= _______________________
f.
= _______________________
g.
= _______________________
h.
= _______________________
Activity Sheet (Individual) Answer s’ Key s’ Key FLASH CARDS I - Objectives:
At the end of this activity activity students students must must be able able to; a) identify the kinds of polynomial according to the number of terms and to the degree. degree. II – II – Procedure: Procedure:
1. Tell whether what kind of polynomials are the following according to the number of terms. a.
= monomial
b.
= binomial
c.
= multinomial
d.
√
= trinomial
2. Tell whether what kind of polynomials are the following according to the degree. a.
b.
= constant
c.
= quartic
d.
= quadratic
e.
= quintic
f.
= linear
g.
= degree of polynomial 9
h.
= degree of polynomial 8
= cubic
Activity Sheet for Group 1 (Group Activity) Answer Key Complete the Table I- Objectives:
At the end end of the activity, activity, students must be able able to; a) identify the leading term, leading coefficient of the given polynomials; b) determine its classification according to the number of terms; II- Procedure:
1. Complete the table below. 2. Identify the leading term, the leading coefficient, and the kind of polynomial according to the number of terms. 3. Put your answers at the appropriate space provided. Kind of Polynomial Leading
Leading
No. of
According To the
Term
Coefficient
Terms
No. of terms
2x
2
2
binomial
7
3
trinomial
3. 10
10
10
1
monomial
1
5
multinomial
Given 1. 2x+7 2. 3- 4x +
III- Analysis Question:
1. What kind of polynomial according to the number of terms if the given has four or more terms?
Activity Sheet for Group 1 (Group Activity)
Complete the Table I- Objectives:
At the end end of the activity, activity, students must be able able to; a) identify the leading term, leading coefficient of the given polynomials; b) determine its classification according to the number of terms; II- Procedure:
1. Complete the table below. 2. Identify the leading term, the leading coefficient, and the kind of polynomial according to the number of terms. 3. Put your answers at the appropriate space provided. Kind of Polynomial
Given
Leading
Leading
No. of
According To the
Term
Coefficient
Terms
No. of terms
1. 2x+7 2. 3- 4x +
3. 10
III- Analysis Question:
1. What kind of polynomial according to the number of terms if the given has four or more terms?
Activity Sheet for Group 2 (Group Activity)
Complete the Table I- Objectives:
At the end end of the activity, activity, students must be able able to; a) identify the degree of the given polynomials; b) determine its classification according to the degree; c) arrange polynomials into its standard form. II- Procedure:
1. Complete the table below. 2. Identify the degree of the polynomial and the kind of polynomial according to the degree. 3. Arrange polynomials into its standard form. 4. Put your answers at the appropriate space provided.
Given
Degree
Kind of Polynomial According To the Degree
1. 2x+7 2. 3- 4x +
3. 10
5.
6.
III- Analysis Question:
1. How to determine the degree of the given polynomials?
Standard Form
Activity Sheet for Group 2 (Group Activity) Answer Key Complete the Table I- Objectives:
At the end end of the activity, activity, students must be able able to; a) identify the degree of the given polynomials; b) determine its classification according to the degree; c) arrange polynomials into its standard form. II- Procedure:
1. Complete the table below. 2. Identify the degree of the polynomial polynomial and the kind of polynomial according to the degree. 3. Arrange polynomials into its standard form. 4. Put your answers at the appropriate space provided.
Degree 1
Kind of Polynomial According To the Degree linear
Standard Form
2
quadratic
3. 10
0
constant
10
4
quartic
Given 1. 2x+7 2. 3- 4x +
5.
5
quintic
6.
3
cubic
III- Analysis Question:
1. How to determine the degree of the given polynomials?
IV - EVALUATION
Name:_____________________________
Grade/Section:______________
Direction: Read carefully. Write only the letter of the correct answer on the space provided before each number.
__1.It is a constant, constant, a variable variable or a product of a constant constant and variable variable in a given given polynomial? a. coefficient
c. term
b. constant
d. variable
__2. The terms can be called similar terms terms if they they have the the same ________ ____________? ____? a. literal coefficient
c. base
b. numerical coefficient
d. exponent
__3. Given Given these examples below, which which of them them are examples examples of of polynomials? polynomials? 1).
2).
3.) 4.).
a. 1 & 2 0nly
c. 2 & 3 only
b. 1 & 3 only
d. 2 & 4 only
__4. It is the the highest highest exponent exponent or highest highest sum sum of exponents exponents of the the variables variables in a term. a. constant
c. degree
b. linear
d. quintic.
__5. An algebraic algebraic expression expression is not a polynomial polynomial if? a. the exponent of the variable is not a whole whole number b. the variable is inside the radical sign c. the variable is in the denominator d. all of the above.
EVALUATION Answer Key
Name:_____________________________
Grade/Section:______________
Direction: Read carefully. Write only the letter of the correct answer on the space provided before each number.
c1. It is a constant, a variable or a product of a constant and variable in a given polynomial? c . coefficient
c. term
d. constant
d. variable
a2. The terms can be called similar terms if they have the same ____________ ? c. literal co efficient
c. base
d. numerical coefficient
d. exponent
b3. Given these examples below, which of them are examples of polynomials? 1).
2).
3.) 4.).
a. 1 & 2 0nly
c. 2 & 3 only
b. 1 & 3 o n l y
d. 2 & 4 only
c4. It is the highest exponent or highest sum of exponents of the variables in a term. c. constant
c. d e g r e e
d. linear
d. quintic.
d5. An algebraic expression is not a polynomial if? e. the exponent of the variable is not a whole whole number f. the variable is inside the radical sign g. the variable is in the denominator h. all of the abov e.
V – Assignment – Assignment
Read your textbook pages 88 up to 92. Study in advance your next lesson which is the addition and subtraction of polynomials. In a ½ sheet of paper crosswise, answer the following:
Perform the indicated operation. 1. 2. 3. 4. 5.
