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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