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…