(A) Given That $f(x)=x^{6}-2 x^{5}-13 x^{4}+70 x^{3}-160 x^{2}+184 x-80$ Has 2 as a Zero of Multiplicity 2,1 as a 2

Essay

(a) Given that $f(x)=x^{6}-2 x^{5}-13 x^{4}+70 x^{3}-160 x^{2}+184 x-80$ has 2 as a zero of multiplicity 2,1 as a single zero, and -5 as a single zero, find all other zeros of $f$ .
(b) Use the information from part (a) to sketch the graph of $f$ by hand. Give an end behavior diagram.