91Ó°ÊÓ

Find each product. Assume that the variables in the exponents represent positive integers. For example, $$ \left(x^{2 n}\right)\left(x^{3 n}\right)=x^{2 n+3 n}=x^{5 n} $$ $$\left(a^{2 n-1}\right)\left(a^{2 n+4}\right)$$

Solve each of the equations. $$x-4 x^{2}=0$$

Should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. $$n^{3}-49 n$$

Set up an equation and solve each of the following problems. The total surface area of a right circular cone is \(108 \pi\) square feet. If the slant height of the cone is twice the length of a radius of the base, find the length of a radius.

Should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. $$4 x^{2}+16$$

Find each product. Assume that the variables in the exponents represent positive integers. For example, $$ \left(x^{2 n}\right)\left(x^{3 n}\right)=x^{2 n+3 n}=x^{5 n} $$ $$\left(a^{5 n-1}\right)\left(a^{5 n+1}\right)$$

Solve each of the equations. $$x-6 x^{2}=0$$

Find the indicated products. Assume all variables that appear as exponents represent positive integers. $$\left(x^{a}+4\right)\left(x^{a}-9\right)$$

Should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. $$x^{2}-7 x-8$$

Solve each of the equations. $$12 a=-a^{2}$$