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Factor completely

x³-8x²+11x+20

  • math -

    try some factors of 20
    I tried ±1 and sure enough -1 worked, so x+1 is a factor
    Then by either long division or synthetic division of x³-8x²+11x+20 by x+1
    we would get x^2 - 9x + 20
    which factors again into (x-4)(x-5)

    so x³-8x²+11x+20 = (x+1)x-4)(x-5)

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