1. Warm up a) x2 + 2x - 24 b) x2 + x - 30 Factor
2. Find an expression for one side of a square if the Area is x2 + 12x + 36.
a) x2 + 2x - 24
b) x2 + x - 30

2. EOCT Practice
Question of the Day

3. How do we factor a quadratic when a is not 1?
CCGPS Geometry Day 46
UNIT QUESTION: How are real life scenarios represented by quadratic functions?
Today’s Question:
How do we factor a quadratic when a is not 1?
Standard: MCC9-12.A.SSE.3a

4. Last Term POSITIVE

5. For polynomials, how is factoring related to multiplying?
x2 + 9x + 14
x2 + 9x + 14
( )( ) x x
+ 7
+ 2
For polynomials, how is factoring related to multiplying?

6. For polynomials, how is factoring related to multiplying?
2x2 +11x + 3
2x2 +11x + 3
( )( ) 2x x
+ 5
+ 3
For polynomials, how is factoring related to multiplying?

7. For polynomials, how is factoring related to multiplying?
3x2 -23x + 14
3x2 -23x + 14
( )( ) 3x x
- 7
- 2
For polynomials, how is factoring related to multiplying?

8. For polynomials, how is factoring related to multiplying?
2x2 – 5x + 3
2x2 – 5x + 3
( )( ) 2x x
– 3
– 1
For polynomials, how is factoring related to multiplying?

9. For polynomials, how is factoring related to multiplying?
5x2 + 11x + 2
5x2 + 11x + 2
( )( ) 5x x
+ 1
+ 2
For polynomials, how is factoring related to multiplying?

10. For polynomials, how is factoring related to multiplying?
6x2 – 11x + 3
6x2 – 11x + 3
( )( ) 2x
– 3 3x
– 1
For polynomials, how is factoring related to multiplying?

11. For polynomials, how is factoring related to multiplying?
2x2 – 7x + 5
2x2 – 7x + 5
( )( ) 2x
– 5 x
– 1
For polynomials, how is factoring related to multiplying?

12. For polynomials, how is factoring related to multiplying?
You Try...
3x2 – 8x + 4
(3x – 2)(x – 2)
2x2 – 11x + 9
(2x – 9)(x – 1)
For polynomials, how is factoring related to multiplying?

13. Sometimes you can factor out a GCF 1st!

14. For polynomials, how is factoring related to multiplying?
14x2 – 32x + 18
2(7x2 – 16x + 9)
2( )( ) 7x x
– 9
– 1
For polynomials, how is factoring related to multiplying?

15. For polynomials, how is factoring related to multiplying?
You Try...
2y2 – 17y + 35
(2y – 7)(y – 5)
6x2 – 21x + 15
3(x – 1)(2x – 5)
For polynomials, how is factoring related to multiplying?

16. For polynomials, how is factoring related to multiplying?
You Try...
4x2 – 15x + 9
(4x – 3)(x – 3)
3x2 + 17x + 20
(3x + 5)(x + 4)
For polynomials, how is factoring related to multiplying?

17. For polynomials, how is factoring related to multiplying?
You Try...
7x2 – 45x + 18
(7x - 3)(x – 6)
4x2 - 22x + 10
2(2x - 1)(x - 5)
For polynomials, how is factoring related to multiplying?