Question

factor the expression completely.
5x^2 - 5x - 60
5x^2 - 5x - 60 = □

Explanation:

Step1: Factor out the greatest - common factor

First, find the GCF of the coefficients 5, - 5, and - 60. The GCF of 5, - 5, and - 60 is 5.
$5x^{2}-5x - 60=5(x^{2}-x - 12)$

Step2: Factor the quadratic expression inside the parentheses

For the quadratic expression $x^{2}-x - 12$, we need to find two numbers that multiply to - 12 and add up to - 1. The numbers are - 4 and 3 since $(-4)\times3=-12$ and $-4 + 3=-1$.
$x^{2}-x - 12=(x - 4)(x+3)$

Answer:

$5(x - 4)(x + 3)$