Can someone help me with the problem. I need to understand it. I'm having a hard time creating the polynomial. The roots of multiplicity and the x=2 and x=0 are throwing me off. Where are they getting these from???

Here is the question:

The polynomial of degree 5, has leading coefficient 1, has roots of multiplicity 2 at and , and a root of multiplicity 1 at

Find a possible formula for .

Thank you,

Turquoise Bird