If \(-2x^3 + 6x^2 + 17x\) - 21 is divided by \((x + 1)\), then the remainder is
A
32
B
30
C
-30
D
-32
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #67301)