Question

what polynomial has roots -2, -3i, and 3i?

Answer 1

a polynomial with

(x+ 2)(x^2 + 9)

Can you multiply these together?

Answer 2

x^3 + 2x^2 + 9x +18 satisfies the conditions

Answer 3

\[\frac{\pi^2}{9e}x^3 + \frac{2\pi^2}{9e}x^2 + \frac{\pi^2}{e}x + \frac{2\pi^2}{e}\]
appears to be a polynomial with those roots

Answer 4

2x^3 + 4x^2 + 18x +36

Answer 5

2ex^3 + 4ex^2 + 18ex +36e also satisfies the condition