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18 August, 09:20

1. (a) Show that the polynomial x⁴ + 4x³ + 6x² - 8 is divisible by x+2

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  1. 18 August, 09:24
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    Step-by-step explanation:

    if x = - 2

    and P (x) = x^4+4x^3+6x^2-8

    then P (-2) = (-2) ^4+4 * (-2) ^3+6 * (-2) ^2-8=16-32+24-8=0

    so P (x) = (x+2) * Q (x) and P (x) is divisible by x+2
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