10/26/2022-Unit 3 Polynomials Test

Last updated almost 3 years ago

35 questions

Note from the author:

Instructions

4

5

3

4

3

5

2

3

4

3

4

3

Library

10/26/2022-Unit 3 Polynomials Test

Last updated almost 3 years ago

35 questions

Note from the author:

DESMOS
https://www.desmos.com/testing/virginia/scientific

Quadratic Formula

Instructions

DESMOS
https://www.desmos.com/testing/virginia/scientific

Quadratic Formula

4

5

3

Given:

The max number of turns of this polynomials is _____.

4

3

5

Factor completely:

5

Factor completely.

5

Solve.

2

3

4

Write the equation of the function graphed above in factored form: (use f(x)= in your answer)

3

What are the increasing interval(s)?

3

What are the decreasing interval(s)?

4

Solve:
(input your answer in set notation using { }, please include the complex solutions at the back)

3

Simplify:

3

Divide the following:

2

1

DESMOS
https://www.desmos.com/testing/virginia/scientific

Quadratic Formula

DESMOS
https://www.desmos.com/testing/virginia/scientific

Quadratic Formula

Given the graph, choose the correct description:

quartic, leading coefficient negative

cubic, leading coefficient negative

cubic, leading coefficient positive

quartic, leading coefficient positive

What are the factors of the following polynomial?
(choose ALL factors from the list below)

Solve:

Given:

The max number of turns of this polynomials is _____.

A

B

C

D

Given the graph of f(x) , which of the following is true:

(x-1) is a factor of f(x)

The domain of f(x) is 

f(x) has a relative minimum of -3 at x=3

f(x) decreases on the interval (-2.5, -1)

Factor completely:

Factor completely.

Solve.

Which of the following has a y-intercept of 3?

A

B

C

D

A

B

C

D

Write the equation of the function graphed above in factored form: (use f(x)= in your answer)

Which of the following defines a polynomial function with zeros {-4, 0, 1, 2}

(note: the numbers below reference the x-axis)

between -1 and 0

between 1 and 2

between -2 and -1

between 0 and 1

If 5 is a root of the polynomial function f(x), which statement must be true?

The y-intercept for the graph f(x) is (0,5).

The solution of f(x) = 0 is x = -5.

A factor of f(x) is (x-5).

A factor of f(x) is (x+5).

A

B

C

D

What are the increasing interval(s)?

What are the decreasing interval(s)?

Solve:
(input your answer in set notation using { }, please include the complex solutions at the back)

Simplify:

Divide the following:

2

Given the function, write it in standard form:

(start with f(x)= )

2

Given the function, what is the degree?

2

Given the function, what is max number of turns?

2

Given the function, what is the sign of the leading coefficient?

2

Given the graph, choose the correct description:

quartic, leading coefficient negative

cubic, leading coefficient negative

cubic, leading coefficient positive

quartic, leading coefficient positive

What are the factors of the following polynomial?
(choose ALL factors from the list below)

Solve:

A

B

C

D

Given the graph of f(x) , which of the following is true:

(x-1) is a factor of f(x)

The domain of f(x) is 

f(x) has a relative minimum of -3 at x=3

f(x) decreases on the interval (-2.5, -1)

Which of the following has a y-intercept of 3?

A

B

C

D

A

B

C

D

Which of the following defines a polynomial function with zeros {-4, 0, 1, 2}

(note:  the numbers below reference the x-axis)

between -1 and 0

between 1 and 2

between -2 and -1

between 0 and 1

If 5 is a root of the polynomial function f(x), which statement must be true?

The y-intercept for the graph f(x) is (0,5).

The solution of f(x) = 0 is x = -5.

A factor of f(x) is (x-5).

A factor of f(x) is (x+5).

A

B

C

D

Given the function, write it in standard form:

(start with f(x)= )

Given the function, what is the degree?

Given the function, what is max number of turns?

Given the function, what is the sign of the leading coefficient?

Given the function, what is called?

quintic

cubic

quadratic

quartic

Given the function, what would the end behavior look like?

both ends down

both ends up

rising

falling

The zero 1 has a multiplicity of

The zero 1 will cause a _______.

cross

tangent

inflection

The zero 3 has a multiplicity of

The zero 3 will cause a _________.

cross

tangent

inflection

The zero -2 has a multiplicity of

The zero -2 will cause a _________.

cross

tangent

inflection

Given the function, what is called?

quintic

cubic

quadratic

quartic

Given the function, what would the end behavior look like?

both ends down

both ends up

rising

falling

The zero 1 will cause a _______.

cross

tangent

inflection

The zero 3 will cause a _________.

cross

tangent

inflection

The zero -2 will cause a _________.

cross

tangent

inflection

10/26/2022-Unit 3 Polynomials Test

10/26/2022-Unit 3 Polynomials Test

DESMOS

DESMOS

Given:The max number of turns of this polynomials is _____.

Factor completely:

Factor completely.

Solve.

Write the equation of the function graphed above in factored form: (use f(x)= in your answer)

What are the increasing interval(s)?

What are the decreasing interval(s)?

Solve:(input your answer in set notation using { }, please include the complex solutions at the back)

Simplify:

Divide the following:

DESMOS

DESMOS

Given the graph, choose the correct description:

What are the factors of the following polynomial?(choose ALL factors from the list below)

Solve:

Given:The max number of turns of this polynomials is _____.

Given the graph of f(x) , which of the following is true:

Factor completely:

Factor completely.

Solve.

Which of the following has a y-intercept of 3?

Write the equation of the function graphed above in factored form: (use f(x)= in your answer)

Which of the following defines a polynomial function with zeros {-4, 0, 1, 2}

(note: the numbers below reference the x-axis)

If 5 is a root of the polynomial function f(x), which statement must be true?

What are the increasing interval(s)?

What are the decreasing interval(s)?

Solve:(input your answer in set notation using { }, please include the complex solutions at the back)

Simplify:

Divide the following:

Given the function, write it in standard form: (start with f(x)= )

Given the function, what is the degree?

Given the function, what is max number of turns?

Given the function, what is the sign of the leading coefficient?

The zero 1 has a multiplicity of

The zero 3 has a multiplicity of

The zero -2 has a multiplicity of

Given the function, write it in standard form: (start with f(x)= )

Given the function, what is the degree?

Given the function, what is max number of turns?

Given the function, what is the sign of the leading coefficient?

Given the function, what is called?

Given the function, what would the end behavior look like?

The zero 1 has a multiplicity of

The zero 1 will cause a _______.

The zero 3 has a multiplicity of

The zero 3 will cause a _________.

The zero -2 has a multiplicity of

The zero -2 will cause a _________.

Given:

The max number of turns of this polynomials is _____.

Solve:
(input your answer in set notation using { }, please include the complex solutions at the back)

What are the factors of the following polynomial?
(choose ALL factors from the list below)

Given:

The max number of turns of this polynomials is _____.

Solve:
(input your answer in set notation using { }, please include the complex solutions at the back)

Given the function, write it in standard form:

(start with f(x)= )

Given the function, write it in standard form:

(start with f(x)= )