Help please

The polynomial $f(x) = x^3 +x^2 +2x+3$ has three distinct roots. Let  $g(x) = x^3 +bx^2 +cx+d$ be a cubic polynomial with leading coefficient 1 such that the roots of $g(x)$ are the squares of the roots of $f(x)$. Find the ordered triple $(b,c,d)$.

Thanks in advance.