# LABORATORY EXERCISE 2

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 .

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