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Math Help - Factor the polynomial

  1. #1
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    Factor the polynomial

    6 3
    x + 16X + 64 =

    3 3 2 2
    This formula: x
    + a = (X+a)(x - ax + a )

    I have tried this problem A MILLION times! I am So frustrated right now...UGH PLEASE HELP
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  2. #2
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    oops the problem is
    x^6 +16x^3_64 and the formula is X^3+a^3= (x^2-ax + a^2)
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  3. #3
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    Quote Originally Posted by Sapphire19 View Post
    oops the problem is
    x^6 +16x^3_64 and the formula is X^3+a^3= (x^2-ax + a^2)
    This is a quadratic in x^3

    \left(x^3\right)^2+16\left(x^3\right)+64=\left(x^3  +8\right)\left(x^3+8\right)
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  4. #4
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    That's not the right answer. This is regarding homework on mymathlab. If you write the wrong answer it tells you right away if it is wrong. The answer should look exactly like (except with different numbers)
    (x+3)^2 (x^2-3x+9)^2

    It says "notice that the given polynomial is a perfect square and can be factored by (x+a)^2.
    For example, x^6+54x^3+729= (x^3+27)^2. "Now notice that this answer is the sum of 2 cubes. Now you use the formula that I previously posted to get the answer.
    Even with this help that mymathlab gives me I still can't manage to complete this question. After literally over 45 minutes of trying I am giving up because i have A LOT of math homework to do and simply cannot spend 45 minutes on one question!
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  5. #5
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    Archie Meade's factored form is the sum of two cubes

    x^3+8 = x^3+2^3
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  6. #6
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    Quote Originally Posted by Sapphire19 View Post
    That's not the right answer. This is regarding homework on mymathlab. If you write the wrong answer it tells you right away if it is wrong. The answer should look exactly like (except with different numbers)
    (x+3)^2 (x^2-3x+9)^2

    It says "notice that the given polynomial is a perfect square and can be factored by (x+a)^2.
    For example, x^6+54x^3+729= (x^3+27)^2. "Now notice that this answer is the sum of 2 cubes. Now you use the formula that I previously posted to get the answer.
    Even with this help that mymathlab gives me I still can't manage to complete this question. After literally over 45 minutes of trying I am giving up because i have A LOT of math homework to do and simply cannot spend 45 minutes on one question!
    You don't sound like you've got too much patience!

    x^3+2^3=(x+2)\left(x^2-2x+2^2\right)

    Does that help ?
    Last edited by Archie Meade; January 21st 2011 at 02:55 AM. Reason: typo
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  7. #7
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    Related question

    Hi MHFers! I've got what's supposed to be a relatively easy problem here... can anyone solve?
    0.00278=p^{4}\times(1-p)^{3}

    Thanks!
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  8. #8
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    Quote Originally Posted by mirajshah View Post
    Hi MHFers! I've got what's supposed to be a relatively easy problem here... can anyone solve?
    0.00278=p^{4}\times(1-p)^{3}

    Thanks!
    You need to start a new thread.
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