91Ó°ÊÓ

For Problems \(1-10\), determine the degree of the given polynomials. (Objective 1) $$ 15 a^{2} b^{2}-a b \text { and }-20 a^{2} b^{2}-6 a b $$

For Problems \(1-20\), use the difference-of-squares pattern to factor each of the following. (Objective 1) $$ 25 x^{2} y^{2}-36 $$

For Problems \(1-54\), solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. (Objective 1) $$ x^{2}+4 x-12=0 $$

For Problems \(1-30\), factor completely each of the trinomials and indicate any that are not factorable using integers. $$ y^{2}+20 y+84 $$

For Problems \(1-36\), find each product. $$ \left(x^{2} y z^{2}\right)\left(-3 x y z^{4}\right) $$

For Problems \(1-10\), classify each number as prime or composite. (Objective 1) $$ 91 $$

For Problems \(1-74\), find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. (Objectives 1-4) $$ -x^{2} y\left(6 x y^{2}+3 x^{2} y^{3}-x^{3} y\right) $$

For Problems \(1-36\), find each product. $$ \left(-2 x y^{2} z^{2}\right)\left(-x^{2} y^{3} z\right) $$

For Problems \(1-30\), factor completely each of the trinomials and indicate any that are not factorable using integers. $$ y^{2}+21 y+98 $$

For Problems \(1-54\), solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. (Objective 1) $$ x^{2}+7 x-30=0 $$