Free Printable Polynomial Functions

1.

What is the leading coefficient of the polynomial function $f\left(x\right)=2x+x^3+4$ ?

a)

1

b)

2

c)

3

d)

4

2.

How should the polynomial function $f\left(x\right)=2x+x^3+3x^5+4$ be written in standard form?

a)

$f\left(x\right)=x^3+2x+3x^5+4$

b)

$f\left(x\right)=4+3x^5+2x+x^3$

c)

$f\left(x\right)=4+2x+x^3+3x^2$

d)

$f\left(x\right)=3x^5+x^3+2x+4$

3.

Which of the following could be the graph of the polynomial function $y=x^3-4x^2+3x-12?$

a)

b)

c)

d)

4.

From the choices, which polynomial function in factored form represents the given graph?

a)

$y=\left(x+2\right)\left(x+1\right)\left(x-1\right)$

b)

$y=\left(x+1\right)\left(x-1\right)\left(x-2\right)$

c)

$y=x\left(x+2\right)\left(x-1\right)\left(x-2\right)$

d)

$y=x\left(x+1\right)\left(x-1\right)\left(x-2\right)$

5.

If you will draw the graph of $y=x\left(x+2\right)^2$ , how will you sketch it with respect to the x-axis?

a)

Sketch it crossing both (-2,0) and (0,0).

b)

Sketch it crossing (-2,0) and tangent at (0,0).

c)

Sketch it tangent at (-2,0) and crossing (0,0).

d)

Sketch it tangent at both (-2,0) and (0,0).

6.

What are the end behaviors of the graph of $f\left(x\right)=-2x+x^3+3x^5-4$ ?

a)

rises to the left and falls to the right

b)

falls to the left and rises to the right

c)

rises to both directions

d)

falls to both directions

7.

You are asked to illustrate the sketch of $f\left(x\right)=x^3-3x^5+4\$ using its properties. Which will be your sketch?

a)

b)

c)

d)

8.

Which of the following is a polynomial function?

a)

$f\left(x\right)=x^2+3x^{\frac{1}{2}}-5$

b)

$f\left(x\right)=-\frac{2}{3}x^3+1$

c)

$f\left(x\right)=x^2-\sqrt[]{7}\ x+2$

d)

$f\left(x\right)=4x^{-3}+x^2-8x+1$

9.

A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function $P\left(x\right)=0.00125x^4+x-3,\$ where x represents the number of cars sold. What is the profit at $x=150?$

a)

Php 75.28

b)

Php 632,959.50

c)

Php 3,000,000.00

d)

Php 10,125,297.00

10.

Which of the following could be the value of $n$ in the equation $f\left(x\right)=x^n$ if $f$ is a polynomial function?

a)

-2

b)

0

c)

$\frac{1}{4}$

d)

$\sqrt[]{3}$

11.

If you will be asked to choose from -2, 3, 3, and 4, what values for a and n will you consider so that $y=ax^n$ could define the graph?

a)

$a=2,\ n=3$

b)

$a=3,\ n=2$

c)

$a=-2,\ n=4$

d)

$a=-2,\ n=3$

12.

What are the end behaviors of the graph of $f\left(x\right)=x^4+2x^3-5x^2-6x$ ?

a)

falls to the left and rises to the right

b)

rises to the left and falls to the right

c)

falls to both directions

d)

rises to both directions

13.

What is the degree of the polynomial function $f\left(x\right)=x^3\left(x+2\right)\left(x-3\right)?$

a)

5

b)

4

c)

3

d)

2

14.

What is the y-intercept of the polynomial function $f\left(x\right)=x^3+2x^2-4x-1?$

a)

-4

b)

-1

c)

1

d)

2

15.

What are the x-intercepts of the polynomial function $y=\left(x+3\right)\left(x+2\right)\left(x-1\right)?$

a)

3, 2, 1

b)

3, 2, -1

c)

-3, -2, 1

d)

-3, -2, -1

16.

If the leading coefficient of an even-degree polynomial function is negative,

what is the behavior of the graph of its curve?

a)

The graph falls to the left and falls to the right.

b)

The graph falls to the left and rises to the right.

c)

The graph rises to the left and rises to the right.

d)

The graph rises to the left and falls to the right.

17.

What is the maximum number of turning points of 𝑃(𝑥) = 𝑥³ − 4𝑥² + 2𝑥 − 8 ?

a)

1

b)

2

c)

3

d)

4

18.

A demographer predicts that the population P, of a barangay x years from now

can be modelled by the function P(x) = 4x³ – 6x² + 10x + 15. What will be the

population of the barangay 3 years from now?

a)

96

b)

97

c)

98

d)

99

19.

It is a polynomial function whose degree is 4.

a)

cubic

b)

quadratic

c)

quartic

d)

quintic

20.

Which of the following is true about $n$ if $f\left(x\right)=x^n$ defines a polynomial function?

a)

an integer

b)

a nonnegative integer

c)

any number except 0

d)

any real number

Polynomial Functions

Total questions: 20

Worksheet time: 29mins

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