Let \(p(x) = x^2 + bx + c,\) where \(b\) and \(c\) are integers. If \(p(x)\) is factor of both \(x^4 + 6x^2 + 25\) and \(3x^4 + 4x^ 2+ 28x + 5,\) what is \(p(1)\)?
p(1) = 10.
