91Ó°ÊÓ

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. $$18 n^{3}+39 n^{2}-15 n$$

Simplify by removing the inner parentheses first and working outward. $$-2 n^{2}-\left[n^{2}-\left(-4 n^{2}+n+6\right)\right]$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$\left(x^{2}+2 x+1\right)\left(x^{2}+3 x+4\right)$$

Find each quotient. $$\frac{25 x^{5} y^{6}}{-5 x^{2} y^{4}}$$

Factor by grouping. $$x^{2}+9 x+6 x+54$$

Find all real number solutions for each equation. $$8 x^{2}-32=0$$

Simplify by removing the inner parentheses first and working outward. $$-7 n^{2}-\left[3 n^{2}-\left(-n^{2}-n+4\right)\right]$$

Set up an equation and solve each problem. The sum of the areas of two circles is \(65 \pi\) square feet. The length of a radius of the larger circle is 1 foot less than twice the length of a radius of the smaller circle. Find the length of a radius of each circle.

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$\left(x^{2}-x+6\right)\left(x^{2}-5 x-8\right)$$

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. $$n^{2}+18 n+77$$