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31 March, 10:46

Use synthetic division to detemine if x+1 is a factor of f (x) for f (x) x^3-7x^2+8x+16

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  1. 31 March, 11:11
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    It is a factor

    Step-by-step explanation:

    [x³ - 7x² + 8x + 16] : (x + 1)

    [x³ + x² - 8x² - 8x + 16x + 16] : (x + 1)

    [x² (x + 1) - 8x (x + 1) + 16 (x + 1) ] : (x + 1)

    x² - 8x + 16 and tye remainder is 0.

    So, yes (x + 1) is a factor
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