Write the polynomial in factored form

x^3-2x^2-35x=

x=6, x=-5 or x=9

Explanation:

f (x) = (x-6) (x+5) (x-9)

If all of the linear factors are non-zero, then so is their product f (x).

If any of the linear factors is zero, then so is their product f (x).

So the zeros of f (x) are precisely the values of x which make at least one of the linear factors 0, namely: 6, - 5 or 9.