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27 December, 06:56

Find the remainder when f (x) is divided by (x - k)

f (x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

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  1. 27 December, 10:13
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    By the remainder theorem, the remainder when (x - k) divides f (x) is f (k).

    f (x) = 7x^4 + 12x^3 + 6x^2 - 5x + 16

    f (3) = 7 (3) ^4 + 12 (3) ^3 + 6 (3) ^2 - 5 (3) + 16 = 7 (81) + 12 (27) + 6 (9) - 15 + 16 = 567 + 324 + 54 + 1 = 946

    Therefore, remainder is 946
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