12*x - 6*x^2 %2B x^2 - 35 – InterviewSolution

1.

12x - 6x^2 %2B x^2 - 35

Answer»

x^3 - 6x^2 + 12x - 35

= (x^3 - 5x^2) + (-x^2 + 5x) + (7x - 35)

= x^2(x - 5) - x(x - 5) + 7(x - 5)

= (x - 5)(x^2 - x + 7)

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