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Math Help - Partial Fractions

  1. #1
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    Partial Fractions

    g(x) = (2x-1)(x+2)(x-3)

    Express g(x) in the form Ax + Bx + Cx + D
    I found that this was 2x - 3x - 11x + 6

    Find the constant a given that x+3 is a factor of g(x) + ax and Express x-3/ g(x)in partial fraction.

    I can do the partial fractions part just not finding the constant
    thanks
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  2. #2
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    Factorising a polynomial

    Hi -

    Quote Originally Posted by gracey View Post
    g(x) = (2x-1)(x+2)(x-3)

    Express g(x) in the form Ax + Bx + Cx + D
    I found that this was 2x - 3x - 11x + 6

    Find the constant a given that x+3 is a factor of g(x) + ax and Express x-3/ g(x)in partial fraction.

    I can do the partial fractions part just not finding the constant
    thanks
    The polynomial f(x) has a factor (x-k) if f(k)=0. So g(x) + ax has a factor (x+3) if its value is zero when x = -3.

    Solve a simple equation for a, and you're done.

    Grandad
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