Question

Using complete sentences, explain how to completely factor: 2x2 - 6x - 36

Answer 1

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

Answer 2

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 \[2x(x-6)+6(x-6)\]

Answer 3

Can you go on from there?

Answer 4

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