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Question

If dividend = x4+x32x2+x+1, divisor = x - 1 and remainder = 2. Find the quotient q(x).


A

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B

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C

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D

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Solution

The correct option is C


Given, x4+x32x2+x+1=(x1)×q(x)+2

x3+2x2+1x1 x4+x32x2+x1x4x3 –––––––––––2 2x32x2+x1 2x32x2––––––––– x1 x1–––– 0

q(x)=x3+2x2+1.


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