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  • Jun 20, 2009, 06:00 PM
    mikejoyce
    factoring polynomials
    How would I factor the following polynomial and show all of the work?
    4x to the second power + 81 - 36x
  • Jun 20, 2009, 06:09 PM
    Perito



    Note that 81 is a perfect square, and so is 4. Calculate their square roots and use those numbers as possible factor coefficients.

    Note the signs of the three coefficients in the equation (+, -, +). Because the middle coefficient is negative and the other coefficients are positive, you'll have to factor like this:

    where and . Note that b and d may be the same number and a and c may be the same number.

    also, you have to select these coefficients in such a way that .

    Think about it. The solution is pretty easy.

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