Question

Which of the following is a polynomial with roots -2, -2 i, and 2 i?)
A) x3 - 4x2 + 4x - 16
B) x3 + 4x2 + 4x + 16
C) x3 + 2x2 + 4x + 8
D) x3 - 2x2 + 4x - 8

Answer 1

(x+2)(x^2+4)
Expand abd decide.

Answer 2

the constant term is the product of the roots

-2 x -2i x 2i = 8i^2 remember i^2 = -1

= -8

so its the polynomial with a constant term - 8