When the polynomial $2 x^{3} + 3 x^{2} + 3 x - a$ is divided by $x^{2} - 1,$ then the value of (a + b) is

-1

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Solution

The correct option is C -3
Given that the polynomial $2 x^{3} + 3 x^{2} + 3 x - a$ when divided by $x^{2} - 1,$ leaves the remainder 5x + b.

Dividing $2 x^{3} + 3 x^{2} + 3 x - a b y x^{2} - 1,$ we get

But, the given remainder is (5x + b).

∴ 5x – a + 3 = 5x + b

⇒ a + b = 3

Thus, the value of a + b is 3.

Hence, the correct answer is option (c)

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When the polynomial 2x3+3x2+3x−a is divided by x2−1, then the value of (a + b) is

When the polynomial $2 x^{3} + 3 x^{2} + 3 x - a$ is divided by $x^{2} - 1,$ then the value of (a + b) is