Grade 10 Topic in Mathematics. Some fun activities involving Polynomial Function and its definition. Real life application of polynomial function.

1. POLYNOMIAL FUNCTION
GRADE 10 - MATHEMATICS

2. Activity1: Charade/Draw on board with blindfold.
Mechanics:
1. A representative from the group will draw a piece of paper from a
box. The representative will sketch on the board (with blindfold) or act
out (charade) what is written on the paper.
2. Other group members will guess the word within a time limit. If the
group will not be able to answer, then the other group may steal the
chance to answer.

3. 1. Engineers use polynomials to graph
the curves of roller coasters. Since
polynomials are used to describe curves
of various types, people use them in the
real world to graph curves. For example,
roller coaster designers may use
polynomials to describe the curves in
their rides.
Examples of which polynomials can be applied in real life.

4. 2. Polynomials can also be used to
model different situations, like in the
stock market to see how prices will vary
over time. Business people also use
polynomials to model markets, as in to
see how raising the price of a good will
affect its sales. In economics they are
used to conduct cost analysis. (used to
interpret and forecast market trends)
Examples of which polynomials can be applied in real life.

5. 3. Polynomials are used in physics to
describe the trajectory of projectiles.
Projectile motion is a form of motion
where an object moves in parabolic path;
the path that the object follows is called
its trajectory.(Missiles)
Examples of which polynomials can be applied in real life.

6. 4. Science Careers Physical and social scientists, including
archaeologists, astronomers, meteorologists, chemists and physicists,
need to use polynomials in their jobs. Key scientific formulas, including
gravity equations, feature polynomial expressions. These algebraic
equations help scientists to measure relationships between
characteristics such as force, mass and acceleration. Astronomers
use polynomials to help in finding new stars and planets and
calculating their distance from Earth, their temperature and other
features, according to schoolfor-champions.com
Examples of which polynomials can be applied in real life.

7. 5. Shopping
6. Building
Examples of which polynomials can be applied in real life.
ADDITIONAL

8. Students is expected to:
1. identify polynomial functions,
2. determines the degree, leading term,
leading coefficient, constant term in a given
polynomial function,
3. relate the topic in real life situation.
OBJECTIVES:

9. Activity 2: Fill in the Blanks
Mechanics: The students will
review the previous topic on how to
determine a polynomial function by
competing the given
statement/definition.

10. 1.The word polynomial is made of two words, ____ and ____,
meaning many terms.
2.A _____is made up of terms and each term has a coefficient
(numerical coefficient), variable (literal coefficient) and
____while an ____is a sentence with a minimum of two
numbers and at least one math operation in it.
3.Monomial, binomial and trinomial are _____ of polynomial.
4.The _____ of a polynomial refers to the_____ degree among
the degrees of the terms in the polynomial.
5.The degree of a _____in a polynomial refers to the exponent of
variable/literal coefficient.

11. A polynomial _____ is a function that
can be expressed in the form of a
polynomial. Generally, it is represented
as ____.
Bonus item: Fill in the blank.

12.  A polynomial function is a function that can be
expressed in the form of a polynomial. Generally, it
is represented as P(x).
 a function defined by:
P(x) = an xn + an-1 xn-1+.……….…+a2 x2 + a1 x + a0
Where a0 a1 , …, an-1, an, are real numbers, an ≠ 0, and
n is nonnegative integer.
LET’S EXPORE!

13. LET’S EXPORE!
 A polynomial function
is a function that can
be expressed in the
form of a polynomial.
Generally, it is
represented as P(x).

14.  Which of the following are polynomial function? Not
polynomial function? Determine the degree, leading
term, leading coefficient, and constant term.
1)P(x)= 3x2 + x – 1
2)P(x)= 2x4 + x2 – 3x + 𝟓𝒙1/2
3)P(x)= – 10 + x – 3x3 – x5
4)𝐏(𝐱) = 𝟑𝒙𝟔 + x4 – 3x2 + 4
EXAMPLE:

15. Activity # 3: On your Own.
A.Which of the following are polynomial function? Not polynomial
function? Determine the degree of the polynomial, leading term,
leading coefficient, constant term and write the polynomials in
standard form.
1)P(x)= 2x3 + x4 – x + 5
2)P(x)= x4 + x2 – 3x + 𝒙𝟑 - 2
3)P(x)= 8 + x2 – 3x3 + 2x-4
4)𝐏(𝐱) = + x4 – 3x2 + 41/3
5)𝐏 𝐱 =
𝟏
𝒙
+ x4 – 3x2 + 1

16. Let’s Wrap Up!
1.) A ________ of degree n in x is an algebraic expression that contains a
specific number of terms each of which is of the form axn, where a a is a
real number and n is a whole number.
2.) ________ of Polynomials
1. Monomial – polynomial with one term
2. Binomial – polynomial with two terms
3. Trinomial – polynomial with three terms
4. Multinomial (polynomial)
3.) The degree of a ________ in a polynomial in x refers to the exponent of
x.

17. Let’s Wrap Up!
4.) The _________ of a polynomial refers to the highest
degree among the degrees of the terms in the
polynomial.
5.) Polynomial _________ - is simply a polynomial that has
been set equal to zero in an equation.
6.) A __________ is a function that can be expressed in the
form of a polynomial. Generally, it is represented as P(x). a
function defined by P(x) = an xn + an-1 xn-1+.……….…+a2 x2 +
a1 x + a0.

18. LET’S EVALUATE!
Choose the letter of the correct answer. Then write it on a separate sheet of
paper.
1.Which of the following is an example of polynomial?
a.term c. degree
b.binomial d. algebraic expression
2. It is simply a polynomial that has been set equal to zero
in an equation.
a.Polynomial c. Polynomial function
b.Polynomial expression d. Polynomial equation

19. LET’S EVALUATE!
Choose the letter of the correct answer. Then write it on a separate sheet of
paper.
3. What do you mean by polynomial function?
a.It refers to the highest degree among the degrees of the terms in
the polynomial.
b.It refers to the exponent of the variable.
c. It can be expressed in the form of a polynomial. Generally, it is
represented as P(x). a function defined by P(x) = an xn + an-1 xn-
1+.……….…+a2 x2 + a1 x + a0.
d.an algebraic expression that contains a specific number of terms
each of which is of the form axn, where a a is a real number and
n is a whole number.

20. LET’S EVALUATE!
Choose the letter of the correct answer. Then write it on a separate sheet of
paper.
4. Which of the following is a polynomials function?
a.P(x) = 3x-2 + x – 1 b. P(x) = 2x4 + x2 – 3x + 𝟓𝒙1/2
c. – 10 + x – 3x3 – x5 d. P(x) = 3𝑥6 + x4 – 3x2 + 4

21. LET’S EVALUATE!
Choose the letter of the correct answer. Then write it on a separate sheet of
paper.
5. Determine the degree of the polynomial, leading term, the
leading coefficient and constant term of polynomial function P(x)=
x3 + 3x2 – 4x + 2𝒙4
a. degree of the polynomial = 3, leading term= x3 , leading coefficient= 1,
constant term= 2
b. degree of the polynomial = 3, leading term= x3 , leading coefficient= 2,
constant term= 0
c. degree of the polynomial = 4, leading term= 2x4 , leading coefficient= 1,
constant term= 2
d. degree of the polynomial = 4, leading term= 2x4 , leading coefficient= 2,
constant term= 0

22. Assignment!
Search about different
representation of polynomial
function.