8. (6x2-31x +47) by (2x - 5)
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Answer:
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Step-by-step explanation:
Let, p(x)=6x
2
−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
=6x
2
−15x−16x+40+7
=6x
2
−31x+47
=p(x)
Hence division algorithm is verified.
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