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Math Help - Factor the following polynomial completely

  1. #1
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    Factor the following polynomial completely

    8x^2-32
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  2. #2
    Moo
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    Hello,

    You can note that 32 is 4x8

    So factorize.

    Then, you'll have something in the form aČ-bČ. You know that you can factorize it into (a+b)(a-b)
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  3. #3
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    would it be (8x+8)(x-4)
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  4. #4
    Moo
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    Nope,

    8x^2-32=8(x^2-4)

    As x^2-4=x^2-2^2, x^2-4=(x-2)(x+2)

    You're asked to factorise, so don't develop 8 to the brackets :-)
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  5. #5
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    how am i suposed to know when to break things up in to the () or to factor and how ia m confused on how to get the final answer or which set of numbers you gave me is the final answer
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  6. #6
    Moo
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    I don't like to give the entire solution directly, so i give the elements...


    If you want it... :

    8x^2-32=8*x^2-4*8=8(x^2-4)=8(x^2-2^2)=8(x-2)(x+2)
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