5.3E: Graphs of Polynomial Functions (Exercises)
For the following exercises, find all zeros of the polynomial function, noting multiplicities.
13. \(f(x)=(x+3)^{2}(2 x-1)(x+1)^{3}\)
14. \(f(x)=x^{5}+4 x^{4}+4 x^{3}\)
15. \(f(x)=x^{3}-4 x^{2}+x-4\)
For the following exercises, based on the given graph, determine the zeros of the function and note multiplicity.
16.
17.
18.
Use the Intermediate Value Theorem to show that at least one zero lies between 2 and 3 for the function \[f(x)=x^{3}-5 x+1 \nonumber\]