A polynomial of degree 5, P(x)\displaystyle {P}{\left({x}\right)}P(x) has leading coefficient 1, and has roots of multiplicity 3 at x=0\displaystyle {x}={0}x=0, multiplicity 1 at x=3\displaystyle {x}={3}x=3, and multiplicity 1 at x=−1\displaystyle {x}=-{1}x=−1.
Find a possible formula for P(x)\displaystyle {P}{\left({x}\right)}P(x). You do not need to simplify your answer.
P(x)=\displaystyle {P}{\left({x}\right)}=P(x)= Preview Question 6
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