1. Find a if x³ + ax² – x -8 is divisible by x -1​

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1. Find a if x³ + ax² – x -8 is divisible by x -1​

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Thu Nguyệt 4 years 2021-08-17T23:28:19+00:00 1 Answers 33 views 0

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  1. ngocdiep
    0
    2021-08-17T23:30:18+00:00
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    Answer:

    a = 8

    Step-by-step explanation:

    x-1 = 0

    x = 1

    let x³ + ax² -x -8 be p(x)

    hence, p(1) = (1)³ + a(1)² -1 -8 = 0    (since, x-1 is a factor)

    = 1 + a – 1-8

    = a – 8 = 0

    therefore, a = 8

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