Question

Question #e09fa

Answer 1

I think what you are asking is answered by: `x^2 + 1` is a factor of the polynomial.

Explanation:

The zero factor property is a fact about polynomials and polynomial equations. Polynomials don't have "answers", but you're probably asking about a zero or a solution to a polynomial equation.

If we know that `i` and `-i` are zeros of a polynomial, then we know that `(x-i)` and `(x-(-i))` are factors of the polynomial.

So the product `(x-i)(x-(-i))` is also a factor of the polynomial.

`(x-i)(x-(-i)) = (x^2+1)` is a factor of the polynomial.