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    f(x)=2x^3 -x^2 -13x -6
    use the factor theorem and division to factories f(x) completely.

    (Original post by hancyk)
    f(x)=2x^3 -x^2 -13x -6
    use the factor theorem and division to factories f(x) completely.
    What have you done so far? You should try and figure out a number that is a factor of 6 (e.g. 1, 2 ,3), let's say a, such that for x = a you have f(a) = 0. Once you have figured it out then you should factorise it (in other words put it outside the brackets to get  (x-a)(ax^2+bx+c) =  2x^3 - x^2 - 13x - 6 . Then just expand it out, and compare coefficients to find out the values a, b and c.

    Hmmm......... interesting
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