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Math Help - Help with maths equations

  1. #1
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    Help with maths equations

    1.find the coordinates of the points where the graph y=2x^3+3x^2-4x+1 cuts the x axis

    2. show that (x-1) is a factor of 6x^3+11x^2-5x-12 and find the other two linear factors of this expression



    please help i dont know how to do these please help thank you very much in advance
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  2. #2
    Super Member TheChaz's Avatar
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    Re: Help with maths equations

    Quote Originally Posted by kitobeirens View Post
    1.find the coordinates of the points where the graph y=2x^3+3x^2-4x+1 cuts the x axis

    2. show that (x-1) is a factor of 6x^3+11x^2-5x-12 and find the other two linear factors of this expression
    please help i dont know how to do these please help thank you very much in advance

    For 1, we know that any point on the x-axis is of the form (a, 0)...

    So set y = 0 and find what value(s) "a" can be.

    This might require factoring, synthetic division, and/or numerical methods. Punch your equation into wolframalpha.com if you need a shortcut for your intuition.
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  3. #3
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    Re: Help with maths equations

    Quote Originally Posted by kitobeirens View Post
    1.find the coordinates of the points where the graph y=2x^3+3x^2-4x+1 cuts the x axis

    2. show that (x-1) is a factor of 6x^3+11x^2-5x-12 and find the other two linear factors of this expression



    please help i dont know how to do these please help thank you very much in advance
    For 2 use the factor theorem which says that if f(x-a) = 0 then f(a) = 0. In layman's terms if x-1 is a factor then f(1) = 0.

    To find the other two factors you can use synthetic division, long division or comparing coefficients.
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