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19. $2x^2 + 8x - 24$

Question

  1. $2x^2 + 8x - 24$

Explanation:

Step1: Factor out the GCF

$2(x^2 + 4x - 12)$

Step2: Factor quadratic trinomial

Find two numbers that multiply to $-12$ and add to $4$: $6$ and $-2$.
$2(x + 6)(x - 2)$

Answer:

$2(x + 6)(x - 2)$