Question

factor the expression completely.
2r² - 6r - 8
show your work here

Explanation:

Step1: Factor out GCF

$2r^2 - 6r - 8 = 2(r^2 - 3r - 4)$

Step2: Factor quadratic trinomial

Find two numbers that multiply to $-4$ and add to $-3$: $-4$ and $1$.
$r^2 - 3r - 4 = (r - 4)(r + 1)$

Step3: Combine factors

Substitute factored trinomial back in.
$2(r - 4)(r + 1)$

Answer:

$2(r - 4)(r + 1)$