Question

( f(x)=b x^{2}+c x+d )
( begin{aligned}left[b(x+1)^{2}+(x+1)+dright] &-left[b x^{2}+c x+dright] =& 8 x+3 b(x+1)^{2}-x^{2} &+c cdot=8 x+3 b(cdot(2 x+1)(1))+c=8 x+3 & 2 b x+b+c=8 x+3 2 b &=8 quad b+c=3 b &=4 quad x=-1 end{aligned} )

# The values of b and c for which the identity f(x + 1) - f(x) = 8x + 3 is satisfied, where f(x) = bx2 + cx + d, are (A) 4,1 (B) 4, -1 (C) -1,4 (D) none of these

Solution