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If (x + 1) and (x - 2) are factors of x^...

If (x + 1) and (x - 2) are factors of `x^(3)+ (a + 1)x^2 -(b - 2) x-6,` find the values of a and b. And then, factorise the given expression completely.

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The correct Answer is:
a-1 and b=7; (x+1) (x-2) (x+3)
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