Will a polynomial times a polynomial always equal a polynomial?

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. the front two wheels are six feet apart. what is the number of feet in the path traced by the inside front wheel in one trip around the circle? express your answer in the form "k \pi", where k is an integer.

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

How do i do this? i don’t understand