Algebra

I had to factor 5x^3-10x^2+43x-6. I got 5x(x^2+-2x)+3(x-2). My teacher said this was half right. What did I do wrong then? Thank you!!

asked by Amelie
  1. CHECK THIS Ihh.tutor

    posted by Danialle
  2. Your answer expands to
    5*x^3-10*x^2+3*x-6
    Could you check the question if the coefficient is not 3x instead of 43x.

    The expression as in the qustion has no rational factors, so there is probably a typo somewhere.

    Yes, your answer is half-way, if not more, to factorizing completely.

    posted by MathMate
  3. Yes, it is supposed to be a three, not a fourty three.

    posted by Amelie
  4. If it is a 3x and not 43x, then you only have to continue your factorization:
    5x(x^2+-2x)+3(x-2)
    =5x(x^2-2x)+3(x-2)
    =5x²(x-2) + 3(x-2)
    =(5x²+3)(x-2)
    which is the correct answer.
    Check:
    (5x²+3)(x-2)
    =5x³ -10² + 3x -6 OK

    posted by MathMate

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