Question

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

Answer 1

well for 3i you have

\[x = \sqrt{-9}\]

so square both sides and the rewrite it so its equal to zero.

for x = 2 as a root then x - 2 is a factor

x = -2 as a root then x + 2 is a factor

combine the 3 factors and you'll have the polynomial