If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.

Question

asked Dec 28, 2022 176k views

1 Answer

Aeonitis · Answer 1 · 2023-01-01T11:41:33+0000

Answer:

(x - 3) and (x - 2)

Explanation:

Using the method of long division to divide the polynomial by x + 4

x² - 5x + 6

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x + 4 | x³ - x² - 14x + 24

x³ + 4x²

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- 5x² - 14x + 24

- 5x² - 20x

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6x + 24

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0 0

The quotient is x² - 5x + 6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

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