How do you find the zeros from this equation

I recommend using the Rational root theorem and finding the zeros through synthetic division. The first zero is x = 1, so the first factorization is (x-1). That leaves a remainder of x^2 -3x-10. Now try to factor that. That factors out to (x-5)(x+2) so the factors of that cubic are (x-1)(x-5)(x+2)