Question

Write the polynomial of the smallest degree with roots i, -i, 4i, and -4i.

Answer 1

x = i, x = -i, x = 4i, or x = -4i

x = +-i or x = +-4i

x^2 = -1 or x^2 = -16

x^2 +1 = 0 or x^2+16 = 0

(x^2+1)(x^2+16)=0

I'll let you finish it up