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Question

If the dividend = x4+x3−2x2+x+1,divisor = x−1 and remainder = 2,then find the quotient q(x).


A

x3+2x2+x+1

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B

x3+x2+x

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C

x3+2x2+1

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D

x3+x2+1

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Solution

The correct option is C

x3+2x2+1


Given: Dividend = x4+x32x2+x+1,divisor = x1 and remainder = 2
To find: Quotient q(x)


x3+2x2+1x1x4+x32x2+x1x4+x3 –––––––––––––––––2 2x32x2+x1 2x3+2x2 ––––––––––––––––––––– 0x2+x1 x+1–––––––––– 0Hence, the quotient is x3+2x2+1.


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