# Thread: help with algebra factoring?

1. ## help with algebra factoring?

Hi,
I've been out of school sick for a few days, and my math teacher just sent me this sheet on factoring and i'm so confused! It would be great if someone could show me HOW to get the answers! Thank you!

Factor:

2x^4y-4x^3y^2+8x^2y

and

Solve by factoring:

x^2+2x+4x+8=0

2. Originally Posted by bittydaisy2
Factor:2x^4y-4x^3y^2+8x^2y
A good start would be to take the common factor of $2x^2y$ out front:

$2x^2y(x^2\, -\, 2xy\, +\, 4)$

Originally Posted by bittydaisy2
Solve by factoring:

x^2+2x+4x+8=0
They've already split the middle term into two; now factor the pairs.

$x(x\, +\, 2)\, +\, 2(x\, +\, 2)$

Take the common factor out front to complete the factorization. Then set each factor equal to zero, and solve.