P \( f(x)=x^{2}+b x+c \), where \( b, c \in R \), if \( f(x) \) is ...

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\( f(x)=x^{2}+b x+c \), where \( b, c \in R \), if \( f(x) \) is a factor of both \( x^{4}+6 x^{2}+25 \) and \( 3 x^{4}+4 x^{2}+28 x+5 \) then find \( f(x) \).
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