AnswersAdv. Algebra II S1 OriginalFactoring Polynomials Completely

The Fundamental Theorem of Algebra Answers

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21
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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?(9x + 7)(4x + 1)(3x + 4) = 0

A
1 root
B
3 roots
C
4 roots
D
9 roots
22
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Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots for this function?

A
f(x) has three imaginary roots.
B
f(x) has three real roots.
C
f(x) has two real roots and two imaginary roots.
D
f(x) has three real roots and one imaginary root.
23

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?

A
f (x) = (x minus 1) (x + 1) Superscript 11
Option A
B
f (x) = (x + 2) cubed (x squared minus 7 x + 3) Superscript 4
Option B
C
f (x) = (x Superscript 5 Baseline + 7 x + 14) Superscript 6
Option C
D
f (x) = 11 x Superscript 5 Baseline + 5 x + 25
Option D

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