Answer:
x(x + 3)(x - 2)
Step-by-step explanation:
Factor out x from each term
= x(x² + x - 6)
To factor the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x - term (+ 1)
The factors are + 3 and - 2, since
+ 3 × - 2 = - 6 and + 3 - 2 = + 1, hence
x² + x - 6 = (x + 3)(x - 2)
---------------------------------------
x³ + x² - 6x = x(x + 3)(x - 2) ← in factored form
