factorise:
x3-3x2-9x-5
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Consider the equation
x3 – 3x2 – 9x – 5…………………..(1)
The equation can be simplified as
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)
∴ (x + 1), (x – 5) and (x + 1) are factors of given polynomial.
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