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Question

Verify the division algorithm for the polynomials 
p(x)=2x46x3+2x2x+2 and g(x)=x+2


Solution

Quotient=2x310x2+22x45VerificationDivisor×Quotient+Remainder=(x+2)×(2x310x2+22x45)+92=2x410x3+22x245x+4x320x2+44x90+92=2x46x3+2x2x+2=DividentHence  proved

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