(A) Given That $f(x)=x^{6}+x^{5}-10 x^{4}+7 x^{3}-x^{2}+10 x-8$ Has 1 as a Zero of Multiplicity 2,2 as a a Zero

Essay

(a) Given that $f(x)=x^{6}+x^{5}-10 x^{4}+7 x^{3}-x^{2}+10 x-8$ has 1 as a zero of multiplicity 2,2 as a single zero, and -4 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.