Question

find the quotient and reminder when we divide : (6x^2 - 3/x + 47) by (2x-5)​

Answer 1

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