What is the remainder when 4x^3+8x-32 is divided by x+10?

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What is the remainder when 4x^3+8x-32 is divided by x+10?

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Kim Cúc 5 months 2021-09-05T11:54:58+00:00 1 Answers 0 views 0

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  1. thienthanh
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    2021-09-05T11:55:58+00:00
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    Answer:

    The remainder is -4112.

    Step-by-step explanation:

    We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x – a), then the remainder will be P(a).

    We are dividing:

    (4x^3+8x-32)\text{ by } (x+10)

    We can rewrite the divisor as:

    x+10=x-(-10)

    So, a = -10.

    Then according to the PRT, the remainder of the operation will be:

    R=P(-10)=4(-10)^3+8(-10)-32=-4112

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