Polynomial Questions?

I was wondering if anybody could please help me this without using a graphing calculator or software.

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2 Answers

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  • 2 months ago
    Favorite Answer

    If the point (2, -3) is on the graph then P(2) = -3

    so,  2³ + k(2)² + 5 = -3

    Then, 8 + 4k + 5 = -3

    => 4k = -16

    so, k = -4

    Hence, P(x) = x³ - 4x² + 5

    As point (4, a) is on the graph then P(4) = a

    so, 4³ - 4(4)² + 5 = a

    i.e. 64 - 64 + 5 = a

    Hence, a = 5

    :)>

  • Ian H
    Lv 7
    2 months ago

    P(2) = 8 + 4k + 5 = -3, so, k = -4

    P(4) = 64 + 16k + 5 = 69 – 64 = 5 which is a

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