1. Solving Through Factoring
Section 8.3A
Pre–Calculus AB PreAP/Dual, Revised ©2014
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8.3A: Solve Through Factoring

2. Inverse Quadrants Based on Reference Angles
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8.3A: Solve Through Factoring

3. Inverse Quadrants Based on Reference Angles
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8.3A: Solve Through Factoring

4. 8.3A: Solve Through Factoring
U-Substitution
As a form of substitution, plug the u in for the variable
Solve
Replacing the “u” for the replacement and solve
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8.3A: Solve Through Factoring

5. 8.3A: Solve Through Factoring
Example 1
Find the solutions of 2sin2x – 3sin x + 1 = 0 in the interval [0, 2π) by showing all work
1/16/2019 4:06 PM
8.3A: Solve Through Factoring

6. 8.3A: Solve Through Factoring
Example 1
Find the solutions of 2sin2x – 3sin x + 1 = 0 in the interval [0, 2π) by showing all work
1/16/2019 4:06 PM
8.3A: Solve Through Factoring

7. 8.3A: Solve Through Factoring
Example 2
Find the solutions of sin x tan x = sin x in the interval [0, 2π) by showing all work
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8.3A: Solve Through Factoring

8. 8.3A: Solve Through Factoring
Example 2
Find the solutions of 3sin2x – sin x – 2 = 0 in the interval [0, 2π) by showing all work
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8.3A: Solve Through Factoring

9. 8.3A: Solve Through Factoring
Example 3
Find the solutions of 3 tan3x = tan x in the interval [0, 2π) by showing all work
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8.3A: Solve Through Factoring

10. 8.3A: Solve Through Factoring
Your Turn
Find the solutions of 2sin2x – sin x – 1 = 0 in the interval [0, 2π) by showing all work
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8.3A: Solve Through Factoring

11. 8.3A: Solve Through Factoring
Example 4
Find the solutions of sin x tan x = sin x in the interval [0, 2π) by showing all work
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8.3A: Solve Through Factoring

12. 8.3A: Solve Through Factoring
Your Turn
Find the solutions of tan x cos2x = tan x in the interval [0, 2π) by showing all work
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8.3A: Solve Through Factoring

13. 8.3A: Solve Through Factoring
Assignment
Worksheet
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8.3A: Solve Through Factoring