The value of b and c for which the identity f(x + 1) – f(x) = 8x + 3 is satisfied, where f(x) = bx2 + cx + d, are

b = 2, c = 1 b = 4, c = -1 b = -1, c = 4 None of these

b = 4, c = -1

From the given identity b(x + 1)2 + c(x + 1) + d - (bx2 + cx + d) = 8x + 3 ⇒ 2bx + b + c = 8x + 3 ⇒ b = 4, c = – 1 Hence (2) is the correct answer.