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Algebra 2

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When x² - 3x + 2k is divided by x + 2, the remainder is 7. Find the value of k. Use synthetic division to do so.

  • Algebra 2 -

    As you know from the Remainder Theorem, dividing p(x) by (x-a) gives f(a) as the remainder.

    we have f(-2) = 7

    f(-2) = 4 + 6 + 2k = 7
    2k = -3
    k = -3/2

    So, we have x^2 - 3k - 3

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