Subject :IMO Class : Class 10

Let f(x) = x^{2} + bx + c where b, c are integers. If f(x) is a factor of both x^{4} + 6x^{2} + 25 and 3x^{4} + 4x^{2} + 28x + 5, then the value of f(1) is ______

A 1

B 2

C 3

D None of these