91Ó°ÊÓ

For Problems \(75-90\), find each product. Assume that the variables in the exponents represent positive integers. (Objective 1) For example, \(\left(x^{2 n}\right)\left(x^{3 n}\right)=x^{2 n+3 n}=x^{5 n}\). $$ \left(4 x^{2 n-1}\right)\left(-3 x^{n+1}\right) $$

For Problems \(69-84\), solve each of the equations. $$ -5 a=-a^{2} $$

Problems \(63-100\) 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. (Objective 4) $$ 4 x^{2}+16 $$

For Problems \(75-84\), find the indicated products. Assume all variables that appear as exponents represent positive integers. $$ \left(3 x^{n}-7\right)^{2} $$

For Problems \(75-90\), find each product. Assume that the variables in the exponents represent positive integers. (Objective 1) For example, \(\left(x^{2 n}\right)\left(x^{3 n}\right)=x^{2 n+3 n}=x^{5 n}\). $$ \left(-3 a^{2}\right)\left(-4 a^{n+2}\right) $$

For Problems \(85-90\), solve each equation for the indicated variable. (Objective 7) $$ 5 b x^{2}-3 a x=0 \text { for } x $$

Problems \(63-100\) 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. (Objective 4) $$ x^{2}-7 x-8 $$

For Problems \(85-90\), solve each equation for the indicated variable. (Objective 7) $$ a x^{2}+b x=0 \text { for } x $$

Problems \(63-100\) 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. (Objective 4) $$ x^{2}+3 x-54 $$

For Problems \(75-90\), find each product. Assume that the variables in the exponents represent positive integers. (Objective 1) For example, \(\left(x^{2 n}\right)\left(x^{3 n}\right)=x^{2 n+3 n}=x^{5 n}\). $$ \left(-5 x^{n-1}\right)\left(-6 x^{2 n+4}\right) $$