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Question

If x1, then find the quotient of x5+x4+x3+x2x3+x2+x+1

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Solution

Just take x2 as commun factor from (x5+x4+x3+x2)=x2(x3+x2+x+1)

Simply commun factors are cancelled and we get
x2(x3+x2+x+1)(x3+x2+x+1)=x2

quotient = x2

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