91Ó°ÊÓ

Factor \(P(x)\) into linear factors given that \(k\) is a zero of \(P\). $$P(x)=-6 x^{3}-17 x^{2}+63 x-10 ; \quad k=-5$$

Use the given zero to completely factor \(P(x)\) into linear factors. Zero: \(2-i ; \quad P(x)=x^{4}-4 x^{3}+9 x^{2}-16 x+20\)

Factor \(P(x)\) into linear factors given that \(k\) is a zero of \(P\). $$P(x)=x^{3}+5 x^{2}-3 x-15 ; \quad k=-5$$

Use Descartes' rule of signs to determine the possible numbers of positive and negative real zeros for \(P(x) .\) Then use a graph to determine the actual numbers of positive and negative real zeros. $$P(x)=2 x^{3}-4 x^{2}+2 x+7$$

Use Descartes' rule of signs to determine the possible numbers of positive and negative real zeros for \(P(x) .\) Then use a graph to determine the actual numbers of positive and negative real zeros. $$P(x)=x^{3}+2 x^{2}+x-10$$

Factor \(P(x)\) into linear factors given that \(k\) is a zero of \(P\). $$P(x)=x^{3}+9 x^{2}-7 x-63 ; \quad k=-9$$

Factor \(P(x)\) into linear factors given that \(k\) is a zero of \(P\). $$P(x)=x^{3}-2 x^{2}-7 x-4 ; \quad k=-1$$

Use Descartes' rule of signs to determine the possible numbers of positive and negative real zeros for \(P(x) .\) Then use a graph to determine the actual numbers of positive and negative real zeros. $$P(x)=3 x^{4}+2 x^{3}-8 x^{2}-10 x-1$$

Factor \(P(x)\) into linear factors given that \(k\) is a zero of \(P\). $$P(x)=x^{3}+x^{2}-21 x-45 ; \quad k=-3$$

Divide. $$\frac{3 x^{4}-7 x^{3}+6 x-16}{3 x-7}$$