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Question

If dividend = x4+x32x2+x+1, divisor =x1 and remainder = 2. Find the quotient q(x)


A

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B

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C

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Solution

The correct option is C


Given x4+x32x2+x+1 = (x1)q(x)+2


x3+2x2+1x1x4+x32x2+x+1x4x3––––––22x32x2+x12x32x2–––––––––x1x1––––0

Therefore, the quotient q(x) = x3+2x2+1


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