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Sum of N Terms of an AP

If x3-3 x2-x+...

Question

If $(x^{3} - 3 x^{2} - x + 3)$ is divided by (x-1) we get $a x^{2} - b x + c$ , then value of (a+b+c)

-4

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-3

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-2

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-1

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Solution

The correct option is A
-4

When $(x^{3} - 3 x^{2} - x + 3)$ is divided by (x-1) we get the quotient as $x^{2} - 2 x - 3$ and 0 as remainder. So, taking the coefficients of a, b, and c= 1 - 2 - 3 = - 4

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