Write a degree 3 polynomial function with integer coefficients that has the following zeros: − 1 , 3 i , and − 3 i

Answer 1

x=-1 is the root of x+1=0

x=±3i are the roots of x²+9=0

Hence, one such polynomial could be P(x) = (x²+9)(x+1)

Answer 2

P(x) = (x + 1)(x + 3I)(X - 3I)