Chapter 3

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$x^{2}+4 x+3=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$x^{2}+9 x+20$$

Use the difference-of-squares pattern to factor each of the following. $$x^{2}-1$$

Classify each number as prime or composite. $$63$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$2 x y\left(5 x y^{2}+3 x^{2} y^{3}\right)$$

Find each product. $$\left(4 x^{3}\right)(9 x)$$

Determine the degree of the given polynomials. $$7 x y+6 y$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$x^{2}+7 x+10=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$x^{2}+11 x+24$$

Use the difference-of-squares pattern to factor each of the following. $$x^{2}-9$$

Classify each number as prime or composite. $$81$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$3 x^{2} y\left(6 y^{2}-5 x^{2} y^{4}\right)$$

Find each product. $$\left(6 x^{3}\right)\left(7 x^{2}\right)$$

Determine the degree of the given polynomials. $$-5 x^{2} y^{2}-6 x y^{2}+x$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$x^{2}+18 x+72=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$x^{2}-11 x+28$$

Use the difference-of-squares pattern to factor each of the following. $$16 x^{2}-25$$

Classify each number as prime or composite. $$59$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$-3 a^{2} b\left(4 a b^{2}-5 a^{3}\right)$$

Find each product. $$\left(-2 x^{2}\right)\left(6 x^{3}\right)$$

Determine the degree of the given polynomials. $$-x^{2} y+2 x y^{2}-x y$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$n^{2}+20 n+91=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$x^{2}-8 x+12$$

Use the difference-of-squares pattern to factor each of the following. $$4 x^{2}-49$$

Classify each number as prime or composite. $$83$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$-7 a b^{2}\left(2 b^{3}-3 a^{2}\right)$$

Find each product. $$(2 x y)\left(-4 x^{2} y\right)$$

Determine the degree of the given polynomials. $$5 x^{3} y^{2}-6 x^{3} y^{3}$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$n^{2}-13 n+36=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$a^{2}+5 a-36$$

Use the difference-of-squares pattern to factor each of the following. $$9 x^{2}-25 y^{2}$$

Classify each number as prime or composite. $$51$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$8 a^{3} b^{4}\left(3 a b-2 a b^{2}+4 a^{2} b^{2}\right)$$

Find each product. $$\left(-a^{2} b\right)\left(-4 a b^{3}\right)$$

Determine the degree of the given polynomials. $$5 x^{2}-7 x-2$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$n^{2}-10 n+16=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$a^{2}+6 a-40$$

Use the difference-of-squares pattern to factor each of the following. $$x^{2}-64 y^{2}$$

Classify each number as prime or composite. $$69$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$9 a^{3} b(2 a-3 b+7 a b)$$

Find each product. $$\left(-8 a^{2} b^{2}\right)\left(-3 a b^{3}\right)$$

Determine the degree of the given polynomials. $$7 x^{3}-2 x+4$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$x^{2}+4 x-12=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$y^{2}+20 y+84$$

Use the difference-of-squares pattern to factor each of the following. $$25 x^{2} y^{2}-36$$

Classify each number as prime or composite. $$91$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$-x^{2} y\left(6 x y^{2}+3 x^{2} y^{3}-x^{3} y\right)$$

Find each product. $$\left(x^{2} y z^{2}\right)\left(-3 x y z^{4}\right)$$

Determine the degree of the given polynomials. $$8 x^{6}+9$$

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$x^{2}+7 x-30=0$$