2023
Mathematics
67ca00ce0c643c71d77dee1f
If −2x +6x2 +17x - 21 is divided by (x+1), then the remainder is
A.
32
B.
30
C.
-30
D.
-32
Correct Answer: -30
Explanation
Let p(x)=−2x3 + 6x2 + 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
Let p(x)=−2x3 + 6x2 + 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) = -30THIS WEEK's
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