A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
We are given a polynomial function has : A root of –3 (multiplicity 2). Therefore, one factor would be (x+3)^2 A root of 0 with multiplicity 1. Therefore another factor is x. A root of 1 with multiplicity 1. Therefore another factor is (x-1). A root of 3 with multiplicity 2. Therefore, another factor would be (x-3)^2 Therefore, polynomial function would