91Ó°ÊÓ

Use the intermediate value theorem to show that each function has a real zero between the two numbers given. Then, use a calculator to approximate the zero to the nearest hundredth. $$P(x)=2 x^{4}-4 x^{2}+3 x-6 ; \quad 1.5 \text { and } 2$$

One or more zeros are given for each polynomial. Find all remaining zeros. \(P(x)=x^{3}-x^{2}-4 x-6 ; \quad 3\) is a zero.

Find all complex solutions of each equation. Do not use a calculator. $$7 x^{3}+x=0$$

Describe the end behavior of the graph of each function. Do not use a calculator. $$P(x)=2.74 x^{4}-3 x^{2}+x-2$$

Use the intermediate value theorem to show that each function has a real zero between the two numbers given. Then, use a calculator to approximate the zero to the nearest hundredth. $$P(x)=x^{4}-4 x^{3}-x+1 ; \quad 0.3 \text { and } 1$$

Find all complex solutions of each equation. Do not use a calculator. $$2 x^{3}+4 x=0$$

One or more zeros are given for each polynomial. Find all remaining zeros. \(P(x)=x^{3}-5 x^{2}+17 x-13 ; \quad 1\) is a zero.

Describe the end behavior of the graph of each function. Do not use a calculator. $$P(x)=\sqrt{6} x^{6}-x^{5}+2 x-2$$

Use the intermediate value theorem to show that each function has a real zero between the two numbers given. Then, use a calculator to approximate the zero to the nearest hundredth. $$P(x)=-x^{4}+2 x^{3}+x+12 ; \quad 2.7 \text { and } 2.8$$

Describe the end behavior of the graph of each function. Do not use a calculator. $$P(x)=x^{5}-x^{4}-\pi x^{6}-x+3$$