n dividing 2x1 +4x+5x+7 by gto the quotient and remainder are x and 7- – InterviewSolution

1.

n dividing 2x1 +4x+5x+7 by gto the quotient and remainder are x and 7-5x respoctively Find go

Answer»

by using the division algorithem

p(x)=g(x)*q(x)+r(x)

2x³+4x²+5x+7=g(x) x 2x +7-5x

2x³+4x²+5x+7-7+5x=g(x) x 2x

2x³+4x²+10x / 2x=g(x)

so we should divide 2x³+4x²+10x by 2x

by long division

so g(x)=x²+2x+5

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