Writing Polynomial Functions from Complex Roots Answers

1

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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = 8x7 – x5 + x3 + 6

A

3 roots

B

4 roots

C

7 roots

D

8 roots

2

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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = 4x5 – 3x

A

1 root

B

2 roots

C

4 roots

D

5 roots

3

How many x-intercepts appear on the graph of this polynomial function?

A

1 x-intercept

B

2 x-intercepts

C

3 x-intercepts

D

4 x-intercepts

4

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 6 roots?

A

f (x) = 5 x Superscript 4 Baseline + 10 x squared + 2

B

f (x) = 5 x Superscript 5 Baseline + 3 x Superscript 4 Baseline + 12 x cubed + 7 x squared minus 2 x + 15

C

f (x) = 6 x Superscript 5 Baseline + x cubed minus 4 x squared + x minus 5

D

f (x) = 7 x Superscript 6 Baseline + 3 x cubed + 12

5

How many x-intercepts appear on the graph of this polynomial function?

A

1 x-intercept

B

2 x-intercepts

C

3 x-intercepts

D

4 x-intercepts

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