AUE2602 Assignment 5 Group 5b LATEST UPDATES
MAY 2023.
5.5B AntiFOIL
A. AntiFOIL technique
1. Given , multiply . This is your “magic number”.
2. Split the middle term into two, with signs given by the TSP.Start with one of the numbers
as being the number 1.
3. Multiply the middle two numbers and see if they match the “magic number”.
4. If they match, then factor by grouping. If not, increment the numbers by 1, and try again.
This method is easier to do than to describe.
We really just need to make a simple “table” to do this.
B. Examples
Example 1: Factor .
Solution
1. Magic number:
2. TSP:
Thus we will split into a positive and negative number. Start with
1
, Make a table!
Now factor by grouping!
Ans
Example 2: Factor .
Solution
Make a table!
Now factor by grouping!
Ans
Example 3: Factor .
2
MAY 2023.
5.5B AntiFOIL
A. AntiFOIL technique
1. Given , multiply . This is your “magic number”.
2. Split the middle term into two, with signs given by the TSP.Start with one of the numbers
as being the number 1.
3. Multiply the middle two numbers and see if they match the “magic number”.
4. If they match, then factor by grouping. If not, increment the numbers by 1, and try again.
This method is easier to do than to describe.
We really just need to make a simple “table” to do this.
B. Examples
Example 1: Factor .
Solution
1. Magic number:
2. TSP:
Thus we will split into a positive and negative number. Start with
1
, Make a table!
Now factor by grouping!
Ans
Example 2: Factor .
Solution
Make a table!
Now factor by grouping!
Ans
Example 3: Factor .
2
