91Ó°ÊÓ

For Problems \(1-30\), factor completely each of the trinomials and indicate any that are not factorable using integers. $$ x^{4}-17 x^{2}+16 $$

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

For Problems \(25-50\), factor completely. $$ 42 y^{2}-6 y $$

For Problems \(21-30\), subtract the polynomials using the horizontal format. (Objective 2) $$ 6 x^{3}+x^{2}+4 \text { from } 9 x^{3}-x-2 $$

For Problems \(1-30\), factor completely each of the trinomials and indicate any that are not factorable using integers. $$ x^{4}-13 x^{2}+36 $$

For Problems \(1-36\), find each product. $$ (3 b)\left(-2 a b^{2}\right)(7 a) $$

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) $$ (t+13)^{2} $$

For Problems \(21-44\), factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. (Objective 1) $$ x^{4}-16 $$

For Problems \(31-56\), factor completely each of the trinomials and indicate any that are not factorable using integers. $$ 15 x^{2}+23 x+6 $$

For Problems \(31-40\), subtract the polynomials using the vertical format. (Objective 2 ) $$ 5 x-2 \text { from } 12 x+6 $$