Factorize the polynomial x3 -5x2 -2x + 24 – InterviewSolution

1.

Factorize the polynomial x3 -5x2 -2x + 24

Answer»

Explanation : x*x*x - 5x*x - 2x + 24 = x*x*x - 3x*x - 2x*x + 6x - 8x + 24 = x*x(x-3)-2x(x-3)-8(x-3) = (x-3)(x*x-2x-8) = (x-3)(x-4)(x+2)

Solution : (x-3)(x-4)(x+2)

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