AnswersINMT3 Integrated Math 3 Sem 1 26-27The Fundamental Theorem of Algebra

Writing Polynomial Functions from Complex Roots Answers

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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?

Question illustration
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
Option A
B
f (x) = 5 x Superscript 5 Baseline + 3 x Superscript 4 Baseline + 12 x cubed + 7 x squared minus 2 x + 15
Option B
C
f (x) = 6 x Superscript 5 Baseline + x cubed minus 4 x squared + x minus 5
Option C
D
f (x) = 7 x Superscript 6 Baseline + 3 x cubed + 12
Option D
5

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

Question illustration
A
1 x-intercept
B
2 x-intercepts
C
3 x-intercepts
D
4 x-intercepts

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