Question

Help with polynomials.

Answer 1

whats your question?

Answer 2

2x^2-12xy-32y^2

Answer 3

I'm trying to find the gcf and simplify
The farthest I've gotten is this.

Answer 4

2(x^2-6xy-16y^2)

Answer 5

@ace-n-it

Answer 6

can it be simplified more?

Answer 7

I know it can, I just can't figure out how
I think you split it up somehow.

Answer 8

It's not a perfect square.

Answer 9

I am completely stuck.

Answer 10

You can factor out a 2 for starters.

2x^2-12xy-32y^2

Answer 11

I knew that.

Answer 12

2(x^{2}-6xy-16y^{2})

Answer 13

Look at the last number -16y^{2}

what two numbers when added together that are factors of -16 will result in -6 ?

Answer 14

-8 and 2

Answer 15

2((x -8 )(x+2))

because when we foil this it will give us

x^{2}+2x-8x -16 ~ x^{2}-6x-16

Answer 16

now we just need to focus on the y terms now

Answer 17

I was missing that one step, I think I have it now.

Answer 18

2(x - 8y)(x + 2y)

Answer 19

Yep and we foil it

2(x +2y )(x-8y )

x^{2}-8xy+2xy-16y^{2}

Answer 20

Thanks!

Answer 21

Well, and there you have it. the most important part of this is to look at the sign of the last term and ask yourself what factors of the last term when added together will result in the middle term.