Hello. In x3 − 11x2 + 24x = 0 please use the symbol " ^ " to denote exponentiation:
x^3 − 11x^2 + 24x = 0
First step: factor out x:
x^3 − 11x^2 + 24x = 0 = x(x^2 - 11x + 24) = 0
Second step: factor the polynomial x^2 - 11x + 24 = 0.
We can see right away that (-3)(-8) = + 24 and that
-3
-8
---
is equal to -11. Thus, the factors of
x^3 − 11x^2 + 24x = 0
are x(x-3)(x-8) = 0. The solutions are 0, 3 and 8.