Question
What will be the remainder when 4x4−3x3+2x2−x is divided by x+1?
Answer: Option D
:
D
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:
D
Given p(x)=4x4−3x3+2x2−x
To find the remainder of 4x4−3x3+2x2−xx+1,
we will use remainder theorem.
Remainder of p(x)x−a is p(a).
⇒ Remainder of 4x4−3x3+2x2−xx+1 is p(−1).
[∵x+1=x−(−1)]
p(−1)=4(−1)4−3(−1)3+2(−1)2−(−1)
⇒p(−1)=4+3+2+1=10
Hence, the remainder of 4x4−3x3+2x2−xx+1 is 10.
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