divide 6x^-31x+47by2x+5 and write the quotient and remainder
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Divide 6x2−31x+47 by 2x−5. and verify the division algorithm
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Let, p(x)=6x2−31x+47,
g(x)=2x−5
q(x)=3x−8 and r=7
∴ By division algorithm,
p(x)=g(x)×q(x)+r
=(2x−5)(3x−8)+7
=6x2−15x−16x+40+7
=6x2−31x+47
=p(x)
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