A polynomial is degree 3\displaystyle {3},

has a root of multiplicity 2\displaystyle {2} at x=4\displaystyle {x}={4} and

a root of multiplicity 1\displaystyle {1} at x=2\displaystyle {x}=-{2}.

The y\displaystyle {y}-intercept is y=16\displaystyle {y}=-{16}.


Find a formula for P(x)\displaystyle {P}{\left({x}\right)}.
P(x)=\displaystyle {P}{\left({x}\right)}=   ,