Answer:
x=0 x=4 x=6
Explanation:
f(x)=x^3 − 10x^2 + 24x
Factor out the greatest common factor
f(x)=x(x^2 − 10x + 24)
Factor inside the parentheses
f(x)=x(x-4)(x-6)
Setting equal to zero
0 = x(x-4)(x-6)
Using the zero product property
x=0 x-4 = 0 x-6 =0
x=0 x=4 x=6