What are the zeros of the polynomial function f (x) = x^3-10x^2+24x

Replace F (x) with y

y=x^3-10x^2+24x

To find the roots replace y with 0.

0=x^3-10x^2-24x

Rewrite the equation as

x^3-10x^2+24x=0

Factor the left side

x (x-6) (x-4) = 0

The solution is a result of

x=0, x-6=0, and x-4=0

The answer is:

x=0, 6, 4