Three roots of a fifth degree polynomial function f (x) are - 2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

a. f (x) has two real roots and one imaginary root.

b. f (x) has three real roots.

c. f (x) has five real roots.

d. f (x) has three real roots and two imaginary roots.

Question

Mathematics

Savannah Tyler

12 September, 21:27

Three roots of a fifth degree polynomial function f (x) are - 2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

a. f (x) has two real roots and one imaginary root.

b. f (x) has three real roots.

c. f (x) has five real roots.

d. f (x) has three real roots and two imaginary roots.

+2

Answers (1)

Know the Answer?

Jamie Mccullough · Answer 1

There is already one imaginary root, then another one should exist - its conjugate (4-i). - - so 2 imaginary roots

there are 2 real root, the fifth must be real root - - possibly equal to the two known roots.

... 3 reals 2 imaginaries