Question

question 7
factor completely:
$x^3 + 4x^2 - 5x$

Explanation:

Step1: Factor out common term

$x^3 + 4x^2 - 5x = x(x^2 + 4x - 5)$

Step2: Factor quadratic expression

Find two numbers that multiply to $-5$ and add to $4$: $5$ and $-1$.
$x^2 + 4x - 5 = (x+5)(x-1)$

Step3: Combine all factors

$x(x^2 + 4x - 5) = x(x+5)(x-1)$

Answer:

$x(x+5)(x-1)$