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14 March, 16:25

If x2 - x - 42 = (x + k) (x + 6) then the value of k is

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  1. 14 March, 19:16
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    x² - x - 42 = (x+k) (x+6)

    x² - 7x + 6x - 42 = (x+k) (x+6)

    x (x-7) + 6 (x - 7) = (x+k) (x+6)

    (x-7) (x+6) = (x+k) (x+6)

    (x+6) gets cancelled

    Thus

    x-7 = x+k

    k = - 7
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