**Problem 1.** Carry out the following long division
operations.

a.

b.

c.

d.

e.

f.

g.

**Problem 2.** Complete the square in the following and
then write as (x + a)^{2} + b.

a. x^{2} + 4x

(x + 2)^{2} − 4

b. x^{2} − 12x

c. x^{2} − 8x

d. 2x^{2} − 16x

e. x^{2} + 8x + 20

g. x^{2} − 4x (a + b t)

**Problem 3.** Simplify, add, subtract, multiply or
divide the following fractions. Express all answers

in reduced form .

**Problem 4.** Factor the following.

a. x^{2} + 4x + 4

b. x^{2} − 8x + 16

c. 4x^{2} − 32x + 64

d. 2x^{2} − 8x − 42

e. 6x^{2} − x − 12

f. 12x^{2} − 23x − 24

**Problem 5.** Solve the following equations for x.

a. 4x + 5 = 29

b. 4x + 3 = 24 − 3x

f. x^{2} + 4x + 4 = 0

g. x^{2} − 7x − 18 = 0

h. 6x^{2} − x − 12 = 0

**Problem 6.** Solve the following equations for
.