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Question

When x4+x32x2+x+1 is divided by x-1, the remainder is 2 and the quotient is q(x). Find 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:
x4+x32x2+x+1
=(x1)q(x)+2
q(x)=x4+x32x2+x+1(x1)



So, q(x)=x3+2x2+1


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