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Math Help - Polynomial

  1. #1
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    Post Polynomial

    Factor the polynomial: (x+a){x^2-ax/x}, my answer is x^2-a^2, is this right, thanks so much for checking for me.
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  2. #2
    Junior Member AlvinCY's Avatar
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    If you mean (x+a){x^2-(ax/x)}, then

    = (x+a)(x^2-a)
    = x^3 - ax + ax^2 - a^2

    If you mean (x+a){(x^2-ax)/x}, then

    = (x+a)(x-a)
    = x^2 - a^2

    Hope that's helpful.
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by AlvinCY View Post
    If you mean (x+a){x^2-(ax/x)}, then

    = (x+a)(x^2-a)
    = x^3 - ax + ax^2 - a^2

    If you mean (x+a){(x^2-ax)/x}, then

    = (x+a)(x-a)
    = x^2 - a^2

    Hope that's helpful.
    If it is indeed the second choice note that you aren't done yet:
    x^2 - a^2 = (x + a)(x - a)

    -Dan
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  4. #4
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    Hello, kwtolley!

    Please check the exact wording of the problem.
    The way it's given, it's completely wrong!


    Factor the polynomial: \frac{(x+a)(x^2-ax)}{x}
    "Factor"? . . . But it's already factored!

    "Polynomial"? . . . We have the product and quotient of three polynomials!


    Other than that, the problem is fine . . . it should have said:

    . . Simplify: . \frac{(x + a)(x^2 - ax)}{x}

    Factor and reduce: . \frac{(x+a)\!\!\not{x}(x - a)}{\not{x}} \:=\:\frac{(x + a)(x-a)}{1} \:=\:x^2-a^2

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  5. #5
    Junior Member AlvinCY's Avatar
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    Quote Originally Posted by topsquark View Post
    If it is indeed the second choice note that you aren't done yet:
    x^2 - a^2 = (x + a)(x - a)

    -Dan
    LoL. You can tell I haven't done high school maths for a few year. And yes, for those of you who are reading this.

    (x + a)(x - a) is the FACTORISED form of x^2 - a^2
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