Product Sum Factoring Original.notebook
February 19, 2014
Factoring
Given x2 + 4x + 3 and we want to find ( )( ) what was in the two brackets that were expanded, we need to complete the Product Sum Chart.
Factoring is Expanding Backwards
Previous Lesson
Expand
Factor
Sum
Numbers
Product
What two numbers multiply to +3 AND ALSO add to +4?
Example 2
Steps
1. Draw the brackets
Sum
Product
Numbers
Sum
Product
Numbers
2. Put x in the front of each bracket since "x times x" equals x2.
3. Put the two numbers from the chart at the end of each bracket.
Example 3
Example 6
Example 4
Sum
Product
Numbers
Sum
Product
Numbers
Example 5
Sum
Product
Numbers
Product Sum Factoring Original.notebook
Homework
1. Handout ­ Find the two numbers that satisfy the product and sum requirements. Then write the numbers in the brackets.
2. Pg. 240 #3, 5 ­ 9, 11
February 19, 2014