Respuesta :

By the zero product property, the expression is equivalent to zero if one of the factors of an expression is equal to zero.

Given each solution a. we can find a factor (x-a) of the polynomial and then multiply the factors to get the polynomial

x =3 The factor is : (x - 3)

x = -3 The factor is: (x + 3)

For 3i and -3i,

i = ±√-1

x = ±3i

let's take the square of both-side

x² = -9

The factor is : (x² +9 )

The polynomial p(x) = (x -3)(x+3)(x² +9)