Unit Six

Factoring

Unit Objective:
Learn to factor: common factors, difference of squares, perfect squares; quadratic trinomials with leading coefficient one; quadratic trinomials with leading coefficient not one; sum and difference of cubes and by grouping.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.

Method of Evaluation:
The unit test will be a pencil and paper quiz taken at your class site. The test will be administered by the instructor or by a proctor. Please see the course schedule for the exact time and date of the unit test.

Objective One
Identify products of polynomials, perfect squares, difference of squares and cubes.

• Read 6.1, pages 166 - 169.
• Complete Work Exercises 6.1, page 169 #1 - 27 (odd), 37, 39, 41, 47, 51, 57, 61, 67, 69.
• Quick Review sheet 6-1.

Objective Two
Factor out common factors.  Recognize and factor difference of squares and factor completely.

• Read 6.2, pages 170 - 172.
• Complete Work Exercises 6.2, page 173 #1-15 (odd), 19-37 (odd), 41, 43, 53, 55, 57.
• Quick Review sheet 6-2.

Objective Three
Be able to factor four terms by grouping.

• Read 6.2, page 173 and 6.3, pages 178-179.
• Complete Work Exercises 6.2, page 173 #45 - 51 (odd), 50.
• Complete Work Exercises 6.3, page 179 #45 - 48.
• Quick Review sheet 6-3.

Objective Four
Be able to factor trinomials where the coefficient of squared term = 1 and coefficient of squared term 1.

• Read 6.3, pages 174 - 178.
• Complete Work Exercises 6.3, page 179 #1 - 10, 11 - 43 (odd), 49, 53.
• Quick Review sheet 6-4.

Objective Five
Be able to recognize and factor sum and difference of cubes.

• Read 6.4, pages 180 - 181.
• Complete Work Exercises 6.4, pages 181 #1 - 21 (odd), 29.
• Quick Review sheet 6-5.

Worksheets