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

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.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic