One root of a third degree polynomial function f (x) is - 5i+2i. which statement describes the number and nature of all roots for this function?

A. f (x) has two real roots and one complex root.

B. f (x) has two complex roots and one real root

C. f (x) has three complex roots.

D. f (x) has three real roots

Question

Mathematics

Gumdrop

27 November, 17:04

One root of a third degree polynomial function f (x) is - 5i+2i. which statement describes the number and nature of all roots for this function?

A. f (x) has two real roots and one complex root.

B. f (x) has two complex roots and one real root

C. f (x) has three complex roots.

D. f (x) has three real roots

+2

Answers (1)

Know the Answer?

Barbara Patton · Answer 1

B. f (x) has two complex roots and one real root

Step-by-step explanation:

Complex roots always come in conjugate pairs. So there's always an even number of complex roots.

Therefore, there must be two complex roots and one real root.