Question

Divide 6x³-27x²+30x by (2x-5)using long division method
​

Answer 1

Answer:

ANSWER

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.