The quotient of (x -3×3-3×2 – 10x + 15) and a polynomial is (x2-5). What is the polynomial?​

Question

The quotient of (x -3×3-3×2 – 10x + 15) and a polynomial is (x2-5). What is the polynomial?​

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Hồng Cúc 3 years 2021-08-11T14:46:35+00:00 1 Answers 14 views 0

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    2021-08-11T14:48:23+00:00

    Answer:

    (-3x -3 – 24x/(x²-5))

    Step-by-step explanation:

    (x – 3x³ – 3x² – 10x + 15) / p = x² – 5

    (-3x³ – 3x² – 9x + 15) / p = x² – 5

    p = (-3x³ – 3x² – 9x + 15)/(x² – 5) = -3x – 3 – 24x/(x² – 5)

    – -3x³ + 15x

    ———————————

    0 – 3x² – 24x + 15

    – – 3x² + 15

    ‐———————————–

    0 – 24x + 0

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