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5.3 Again!
Warm-up (IN)Learning Objective: To use factoring to solve quadratic equations.
Factor:1. 2. 3. 4. 5. 6. 7.
2 9 14x x 2 14 72r r
22 7 3x x 2 25x
29 12 4s s 25 5 10x x 26 36t
7 2x x
18 4r r
2 1 3x x
5 5x x
23 2s
5 2 1x x
6 6t t
Learning Objective: To use factoring to solve quadratic equations.
Notes
EX 1 – Solve by factoring: 2 a. 5 4 0x x
Solutions to a quadratic function -
0x x +4 14 0x 1 0x
x-intercepts also called zeros
Zero product property - If A and B are real #s or expressions, and AB=0, then A=0 or B=0
4x 1x
Learning Objective: To use factoring to solve quadratic equations
2 b. 3 17 10 0x x 17
3015 2
23x 15x 2x 10( )( )
3x ( x 5 ) 2 ( x 5 )
3 2x ( x 5 )
00
03 2 0x 5 0x 3 2x
2
3x
5x
2c. 16 9 0t 4 3 4 3 0t t
4 3 0t 4 3 0t 4 3t
3
4t
4 3t 3
4t
2d. 4 4 1 0r r 22 1 0r 2 1 0r
2 1r 1
2r
Learning Objective: To use factoring to solve quadratic equations
2e. 8 28 60 0y y 4(
22y 7y 15 )
7
3010 3
22y 10y 3y 15( )( )
2y( y 5 ) 3 ( y 5 )
2 3y ( y 5 )
00
02 3 0y 5 0y 2 3y
3
2y
5y
44{ }
44 0
2f. 7 0u u 7 0u u
0u 7 0u 7u
2 2g. 5 25 4 24p p 2 49 0p
7 7 0p p 7 0p 7 0p
7p 7p
0
Teach me how to Factor video!
HW – Solve by Factoring Wksht
Out – Explain what must be true about the numbers p and q if pq=0.
Summary – Today, I learned…