Answer
$f(x)=x^4-10x^3+32x^2-92x+60$
Work Step by Step
Using the Factor Theorem, if $x=a$ is a factor, then $(x-a)$ is a factor of $f(x)$.
Hence here $f(x)=(x-(4+\sqrt 10))(x-(4-\sqrt 10))(x-(1+3i))(x-(1-3i))\\=(x-4-\sqrt 10)(x-4+\sqrt 10)(x-1-3i)(x-1+3i)\\=(x^2-2x+10)(x^2-8x+6)\\=x^4-10x^3+32x^2-92x+60$
