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20 April, 03:51

When 2x^3-3x^2+kx-1 is divided by x-1 the remainder is 2 find k?

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  1. 20 April, 04:12
    0
    k = 4

    Step-by-step explanation:

    The remainder theorem tells you that the remainder from division of f (x) by (x-1) is f (1). Evaluating the expression for x=1 gives ...

    2 (1³) - 3 (1²) + k (1) - 1 = 2 - 3 + k - 1 = k - 2

    We want this to be equal to 2, so ...

    k - 2 = 2

    k = 4
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