Remainder = 0

Algebra Level 4

Let \(f(x) = x^2 + bx + c\), where \(b\) and \(c\) are integers.

If \(f(x)\) is factor of both \(x^4 + 6x^2 +25\) and \(3x^4+4x^2 + 28x + 5\), then find the value of \(f(1)\).


Note: The problem is not original.

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