Question

Write a polynomial equation of the smallest degree with roots -i, i and -2.

Answer 1

(x^2+1)(x+2)

Answer 2

start with \((x+i)(x-i)(x+2)\) and multiply out

Answer 3

umm would i start like this \[p(x) = (x + i) (x - i) (x + 2)\]

Answer 4

you get as a first step what @ChmE wrote,then multiply those together

Answer 5

FOIL them right?

Answer 6

That is a good starting point. I just skipped a step. Yes foil them

Answer 7

okay

Answer 8

so i got \[x^3 + 2x^2 = x^2(x + 2)\]