If \(-2x^3 + 6x^2 + 17x\) - 21 is divided by \((x + 1)\), then
MATHEMATICS
JAMB 2023
If \(-2x^3 + 6x^2 + 17x\) - 21 is divided by \((x + 1)\), then the remainder is
- A. 32
- B. 30
- C. -30
- D. -32
Correct Answer: C. -30
Explanation
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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