Question

Factorise:
x^3 - 3x^2 - 9x - 5

Answer 1

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Answer 2

Answer:

(x + 1) (x - 5) (x + 1)

Step-by-step explanation:

x³ - 3x² - 9x - 5

= x³ + x² - 4x² - 4x - 5x - 5

= x²( x + 1) - 4x ( x + 1) - 5(x + 1)

= (x + 1)(x² - 4x - 5)

= (x + 1)(x² -5x + x - 5)

= (x + 1)(x - 5) (x + 1)

Hence, (x +1), (x -5) and (x +1) are the factors of given polynomial.