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. x2 + 4x
(x + 2)2 − 4
b. x2 − 12x
c. x2 − 8x
d. 2x2 − 16x
e. x2 + 8x + 20
g. x2 − 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. x2 + 4x + 4
b. x2 − 8x + 16
c. 4x2 − 32x + 64
d. 2x2 − 8x − 42
e. 6x2 − x − 12
f. 12x2 − 23x − 24
Problem 5. Solve the following equations for x.
a. 4x + 5 = 29
b. 4x + 3 = 24 − 3x
f. x2 + 4x + 4 = 0
g. x2 − 7x − 18 = 0
h. 6x2 − x − 12 = 0
Problem 6. Solve the following equations for
.
