\[ \begin{eqnarray} & x^4 & + 6x^2 + 25 \\ & 3x^4 & + 4x^2 + 28x + 5 \\ \end{eqnarray} \]

Let \(f(x) \) denote monic quadratic polynomial with integer coefficients. If \(f(x)\) are factors of both the two quartic polynomials above, what is the value of \(f(1) \)?

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