Question

The quotient of (x -3x3-3x2 - 10x + 15) and a polynomial is (x2-5). What is the polynomial?​

Answer 1

(-3x -3 - 24x/(x²-5))

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

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0 - 3x² - 24x + 15

- - 3x² + 15

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0 - 24x + 0