Polynomials are a class of functions that are studied in calculus because they are predictable in their behavior. They are smooth, continuous curves when graphed. They are fairly easy to graph, find r...Polynomials are a class of functions that are studied in calculus because they are predictable in their behavior. They are smooth, continuous curves when graphed. They are fairly easy to graph, find roots, and calculate outputs for real-number inputs. Polynomials will continue to be relevant to all of your math and science courses going forward!