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Worksheets

Illustrating Polynomial Functions

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the degree of the function:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

answer choices

a)

1

b)

2

c)

3

d)

4

2.

What is the leading coefficient of the function:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

a)

6

b)

3

c)

-3

d)

4

3.

What type of function is:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

a)

linear

b)

quadratic

c)

cubic

d)

quartic

4.

A function with degree 3 is called

a)

constant

b)

cubic

c)

linear

d)

quadratic

5.

This polynomial would have how many roots?

f(x) = 4x5 - 3x4 + 2x2 - 7x + 1

a)

7

b)

5

c)

4

d)

1

6.

The exponent of polynomial functions must be always _________.

a)

negative integers

b)

positive integers

c)

fractions

d)

radicals

7.

How should the polynomial function f(x) = 2x + x3 + 3x5 + 4 be written in standard form?

a)

𝑓(𝑥) = 𝑥3 + 2𝑥 + 3𝑥5+ 4

b)

𝑓(𝑥) = 4 + 3𝑥5+ 2𝑥 + 𝑥3

c)

𝑓(𝑥) = 4 + 2𝑥 + 𝑥3 + 3𝑥5

d)

𝑓(𝑥) = 3𝑥5+ 𝑥3+ 2𝑥 + 4

8.

f(x) = 2x3 - 3x2 + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

9.

Fill in the blank: The maximum number of turning points is ____ less than the degree of the polynomial.

a)

3

b)

0

c)

1

d)

-2

10.

What are the zeros of the polynomial y = (x + 4)(x + 1)(x - 3)?

a)

-4, -1, 3

b)

4, 1, -3

c)

-4, 1, -3

d)

-4, -1, -3