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)