We can express polynomials in different, yet equivalent, algebraic forms that each give us different information about features of the polynomial and its graph. Earlier, we saw how expressing a polynomial function in factored form is helpful for identifying zeros. The expanded version of factored form, or standard form of a polynomial, is helpful for identifying the constant term and the degree. 

For example, here are the expressions for a polynomial written in factored form and standard form:

The constant term, seen as -4.5 in the example, tells us the value of the function when . In a graph of the function, this point is known as the vertical intercept.

The degree, seen as 5 in the example, tells us about the general shape of the graph of the polynomial, which we’ll learn more about in future lessons.