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Remainder when a polynomial is divided by (x - a) or (x + a)

The same question, asked 2 times: 25 Jul 2023 S3*, 17 Sep 2024 S3. Every wording below, oldest first.

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  1. Question 1

    25 Jul 2023 S3

    64
    What is the remainder when (x17+1)(x^{17} + 1) is divided by (x+1)(x + 1)?

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  2. Question 2

    17 Sep 2024 S3

    62
    When f(m)=m5+5m4−3m+7f(m) = m^5 + 5m^4 - 3m + 7 is divided by (m−2)(m - 2), then the remainder is _____.

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