The Fundamental Theorem of Algebra

Question 1

Patricia is studying a polynomial function f(x). Three given roots of f(x) are , 3 + 4i, and 10. Patricia concludes that f(x) must be a polynomial with degree 4. Which statement is true?

Revolt · Accepted Answer

Patricia is not correct because both 3 – 4i and must be roots.

Question 2

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

Revolt · Accepted Answer

f (x) = (x + 2) cubed (x squared minus 7 x + 3) Superscript 4

Question 3

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

Revolt · Accepted Answer

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

Question 4

Which of the following describes the roots of the polynomial function ?

Revolt · Accepted Answer

3 with multiplicity 4 and –6 with multiplicity 2

Question 5

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

Revolt · Accepted Answer

f (x) = (3 x squared minus 4 x minus 5) (2 x Superscript 6 Baseline minus 5)

The Fundamental Theorem of Algebra Answers

More from this Course

TRY EDGENUITY HACKS