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If $-2x^3 + 6x^2 + 17x$ - 21 is divided by $(x + 1)$ , th...

If $-2x^3 + 6x^2 + 17x$ - 21 is divided by $(x + 1)$ , then the remainder is

A.

32

B.

30

C.

-30

D.

-32

View answer & explanation

Correct answer is C

Let $p(x) = -2x^3 + 6x^2 + 17x - 21$

Using the remainder theorem

Let $x + 1 = 0$

∴ $x = -1$

Since, $(x + 1)$ divides $p(x)$ , then, remainder will be p(-1)

⇒ p(-1) = -2(-1) $^3 + 6(-1)^2$ + 17(-1) - 21

∴ p(-1) = -30

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