91Ó°ÊÓ

Find the complex zeros of each polynomial function. Write fin factored form. $$ f(x)=x^{4}+13 x^{2}+36 $$

Use transformations of the graph of \(y=x^{4}\) or \(y=x^{5}\) to graph each function. $$ f(x)=3-(x+2)^{4} $$

Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of the leading coefficient. $$ \text { Zeros: }-1,1,3 ; \text { degree } 3 $$

Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor \(f\) over the real numbers. $$ f(x)=x^{3}+2 x^{2}-5 x-6 $$

Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor \(f\) over the real numbers. $$ f(x)=x^{3}+8 x^{2}+11 x-20 $$

Find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -2,3,5 Degree 3 Point: (2,36)

Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor \(f\) over the real numbers. $$ f(x)=2 x^{3}-4 x^{2}-10 x+20 $$

Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor \(f\) over the real numbers. $$ f(x)=x^{4}-x^{3}-6 x^{2}+4 x+8 $$

Find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -4,-1,2 Degree 3 \(y\) -intercept: 16

Solve each equation in the real number system. $$ 2 x^{3}+3 x^{2}+2 x+3=0 $$