91Ó°ÊÓ

State the degree of each polynomial equation. Find all of the real and imaginary roots to each equation. State the multiplicity of a root when it is greater than 1. $$x^{4}+2 x^{3}+x^{2}=0$$

Let \(f(x)=x^{4}-1, g(x)=x^{3}-3 x^{2}+5,\) and \(h(x)=4 x^{4}-\) \(3 x^{2}+3 x-1 .\) Find the following function values by using two different methods. See Example \(I\) $$ f(-2) $$

Determine whether each given value of x is a zero of the given function. See Example 1. $$x=7, \quad P(x)=x+7$$

Let \(f(x)=x^{4}-1, g(x)=x^{3}-3 x^{2}+5,\) and \(h(x)=4 x^{4}-\) \(3 x^{2}+3 x-1 .\) Find the following function values by using two different methods. See Example \(I\) $$ f(5) $$

State the degree of each polynomial equation. Find all of the real and imaginary roots to each equation. State the multiplicity of a root when it is greater than 1. $$x^{5}-4 x^{4}+4 x^{3}=0$$

State the degree of each polynomial equation. Find all of the real and imaginary roots to each equation. State the multiplicity of a root when it is greater than 1. $$x^{4}-6 x^{2}+9=0$$

Determine whether each given value of x is a zero of the given function. See Example 1. $$x=5, \quad P(x)=x^{2}-5 x$$

Let \(f(x)=x^{4}-1, g(x)=x^{3}-3 x^{2}+5,\) and \(h(x)=4 x^{4}-\) \(3 x^{2}+3 x-1 .\) Find the following function values by using two different methods. See Example \(I\) $$ g(-1) $$

State the degree of each polynomial equation. Find all of the real and imaginary roots to each equation. State the multiplicity of a root when it is greater than 1. $$x^{4}-8 x^{2}+16=0$$

Determine whether each given value of x is a zero of the given function. See Example 1. $$x=1, \quad P(x)=x^{3}-x^{2}+x-1$$