## keana 3 years ago Using complete sentences, explain how to completely factor: 2x2 - 6x - 36

1. Calcmathlete

First, factor out the GCF, 2. 2(x^2 - 3x - 18) 2(x - 6)(x + 3)

2. beeqay

Ok, find two numbers that will give you a product of $-72 (2 \times -36)$ and that will add up to $-6$ The two numbers in this case would be -12 and 6. So we rewrite the equation as $2x^2 -12x+6x-36$ and then factor out the common factors $2x(x-6)+6(x-6)$

3. beeqay

Can you go on from there?

4. beeqay

product of $-72$because of$(2 \times -36)$ *