Zeros of polynomials with real coefficients always come in conjugate pairs. Thus, another zero is 1-I. These two zeros mean that

(x-1+I)(x-1-I) = x^2 -2x -2

is a factor of F(x).

By polynomial division, we find the remaining factor to be x+10.

The zeros of F(x) are

1 ± I, -10.

(x-1+I)(x-1-I) = x^2 -2x -2

is a factor of F(x).

By polynomial division, we find the remaining factor to be x+10.

The zeros of F(x) are

1 ± I, -10.