1/18/2012

1

REVIEW FOR MODULE TEST #3

ONLINE MATH 1010 –Intermediate Algebra

MATH 1010 MODULE 3 ONLINE TEST

• There are about 20 questions on this test

• You may not use notes or books.

• You may use a non-graphing calculator.

• You have 90 minutes to complete the test

• You must complete the test once you open it.

1/18/2012

2

MODULE 3Polynomials and

Polynomial Functions

Module 3 objectives

MATH 1010 Online Objectives for Module 3Section 5.3

• Factor out a common factor.

• Factor out a common factor with a negative coefficient.

• Factor out a common binomial factor.

• Factor by grouping.

• Factor in problem solving.

•

Section 5.4

• Factor trinomials of the type x^2 + bx + c

• Factor trinomials of the type ax^2 + bx + c, a not 1.

•

Section 5.5

• Factor perfect-square trinomials.

• Factor the difference of two squares.

• Factor by grouping.

Section 5.6

• Factor the sum or difference of cubes.

•

Section 5.7

• Factor mixed problems using a general strategy.

•

Section 5.8

• Use the principle of zero products to solve equations.

• Find the domain of a function.

• Solve application problems involving factoring.

1/18/2012

3

A General Strategy for Factoring

Factor-out the Greatest

Common Factor

Count Terms

Two Terms:

•Difference of squares Difference of cubes Sum of cubes

Three Terms: Use your method for factoring trinomials

More than Three Terms: try factoring by grouping

Check by multiplying

Factoring Polynomials

1/18/2012

4

2

Factor.

8 6 9z z− −

1/18/2012

5

Factor.

20 8 12wx wy wz− −

4

Factor.

9 25y −

1/18/2012

6

3 3

Factor.

54 16a b−

3

Factor.

7 7t +

1/18/2012

7

4 3 2

Factor.

6 96 384m m m+ +

2

Factor.

3 21n n−

1/18/2012

8

2 2

Factor.

12 17 6a ab b− +

4 3 2

Factor.

40 4 12y y y+ −

1/18/2012

9

Using Factoring to solve equations

2

Solve by Factoring

3 18 0x x− − =

1/18/2012

10

2

Solve by Factoring

6 8a a=

2

Solve by Factoring

24 8 0t t+ =

1/18/2012

11

2

Solve by Factoring

16 8r r+ =

2

Solve by Factoring

3 8 4 0x x− + =

1/18/2012

12

Finding the Domain of a Function

2

Find the domain of the function

3( )

3 4f x

x x=

− −

1/18/2012

13