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9 February, 17:25

Find the quotient when x^3+x^2-x-1 is divided by x-1

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  1. 9 February, 18:52
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    X^3 + x^2 - x-1

    = x^2 (x+1) - (x+1)

    = (x^2-1) (x+1)

    [As a^2 - b^2 = (a-b) (a+b) ]

    = (x+1) (x-1) (x+1)

    Now, { (x+1) (x+1) (x-1) } / (x-1)

    = (x+1) (x+1)

    So, when x^3 + x^2 - x - 1 is divided by (x-1), the quotient is (x+1) (x+1).
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