Factorise the cubic polynomial:- x³-2x²-5x-6
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Factorise the cubic polynomial:- x³-2x²-5x-6
Answer
x³-2x²-5x-6
x³ + x² + x² - 5x - 6
x² ( x + 1 ) + x² + x - 6x - 6
x² (x + 1) + x (x + 1) - 6 (x + 1)
(x + 1) ( x² + x - 6)
(x + 1 ) ( x² + 3x - 2x - 6)
(x + 1) [ x ( x + 3) -2 ( x + 3)]
(x + 1) ( x -2 ) (x + 3)
.°. The answer is (x + 1) ( x -2 ) (x + 3).
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