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The values of ba n dc for which the iden...

The values of `ba n dc` for which the identity of `f(x+1)-f(x)=8x+3` is satisfied, where `f(x)=b x^2+c x+d ,a r e`

A

`b=2,c=1`

B

`b=4,c=-1`

C

`b=-1,c=4`

D

`b=-1,c=1`

Text Solution

Verified by Experts

The correct Answer is:
B
`because[b(x+1)^(2)+c(x+1)+d]-[bx^(2)+cx+d]=8x+3`
`implies" "(2b)x+(b+c)=8x+3`
`implies" "2b=8,b+c=3`
`implies" "b=4,c=-1" "[becausexne-1]`
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