Which of the following is a polynomial with roots –2, –2i, and 2i?

A. x^3 – 4x^2 + 4x – 16

B. x^3 + 4x^2 + 4x + 16

C. x^3 + 2x^2 + 4x + 8

D. x^3 – 2x^2 + 4x – 8

Question

Which of the following is a polynomial with roots –2, –2i, and 2i?

A. x^3 – 4x^2 + 4x – 16

B. x^3 + 4x^2 + 4x + 16

C. x^3 + 2x^2 + 4x + 8

D. x^3 – 2x^2 + 4x – 8

anonymous · Answer

There's 2 ways you can do this. Factor each of those equations and find the roots, or brute force it by plugging each of your roots into all of the equation. The ones that don't come out to 0 are false, meaning it doesn't have those roots.

anonymous · Answer

Oh thats what i forgot to do -_- thanks :D