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Math Help - help with algebra factoring?

  1. #1
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    Question 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
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  2. #2
    MHF Contributor
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    Quote Originally Posted by bittydaisy2 View Post
    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)


    Quote Originally Posted by bittydaisy2 View Post
    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.
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