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can you show me step by step how to factor 15x^2-14x-8

  • math - ,

    I don't know what method you are learning.
    One of the popular methods these days seems to be
    the "decomposition" method

    multiply first times last: 15(-8) = -120
    look for factors of -120 which add up to -14

    how about +6 and -20 ?
    their sum is -14

    so 15x^2 - 20x + 6x - 8
    = 5x(3x-4) + 2(3x-4)
    = (3x-4)(5x+2)

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