# Barely Sufficient Equations

Algebra Level 4

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

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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