Question

factorise x^3-3x^2-9x-5
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Answer 1

3x^-3x^2-9x-5

Step-by-step explanation:

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Answer 2

Answer:

(x + 1)²(x - 5)

Step-by-step explanation:

f(x) = x³ - 3x² - 9x - 5

f(- 1) = (- 1)³ - 3(- 1)² - 9(- 1) - 5 = 0 ⇒ (x + 1) is a factor of f(x)

(x³ - 3x² - 9x - 5) ÷ (x + 1) = x² - 4x - 5

x² - 4x - 5 = (x + 1)(x - 5)

x³ - 3x² - 9x - 5 = (x + 1)²(x - 5)