THIS USER ASKED ๐Ÿ‘‡

If f(-2)=0 what are all the factors of the function f(x)=x^3-2x^2-68x-120

THIS IS THE BEST ANSWER ๐Ÿ‘‡

Oh f (-2) = 0, follows the polynomial residual theorem that f (x) perfectly divisible by x + 2. Sharing, we have

 dfrac {x ^ 3-2x ^ 2-68x-120} {x + 2} = x ^ 2-4x-60

and to factor further, we have

f (x) = (x + 2) (x ^ 2-4x-60) = (x + 2) (x + 6) (x-10)