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## keana 4 years ago Using complete sentences, explain how to completely factor: 2x2 - 6x - 36

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1. anonymous

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

2. anonymous

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. anonymous

Can you go on from there?

4. anonymous

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

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