1. Exponent Rules, Multiplying Polynomials, and GCF Factoring
Skill Check
Exponent Rules, Multiplying Polynomials, and GCF Factoring

2. Homework Check

3. FOIL Trinomial Method when a = 1, -c GCF DOTS
Factoring
FOIL
Trinomial Method when a = 1, -c
GCF
DOTS

4. Using FOIL First Outside, Inside Last
Distribute the first term, then the second term
Combine like terms

5. Using FOIL

6. Using FOIL

7. Using FOIL

8. Sign Rule: When the last term is NEGATIVE…
The parenthesis will have DIFFERENT SIGNS.
The larger factor will have the SAME sign as the middle number

9. For polynomials, how is factoring related to multiplying?
n2 + 2n – 48
( )( ) n n
+ 8
– 6
For polynomials, how is factoring related to multiplying?

10. For polynomials, how is factoring related to multiplying?
x2 + 8x – 20
( )( ) x x
– 2
+ 10
For polynomials, how is factoring related to multiplying?

11. For polynomials, how is factoring related to multiplying?
x2 – 4x – 21
( )( ) x x
+ 3
– 7
For polynomials, how is factoring related to multiplying?

12. For polynomials, how is factoring related to multiplying?
x2 – 9x – 36
( )( ) x x
+ 3
– 12
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?
2x2 + 8x - 24
2(x2 + 4x -12)
2( )( ) x x
+ 6
– 2
For polynomials, how is factoring related to multiplying?

15. For polynomials, how is factoring related to multiplying?
You Try...
3y2 + 24y - 60
3(y +10)(y -2)
4x2 - 8x - 32
4(x + 2)(x - 4)
For polynomials, how is factoring related to multiplying?

16. Difference of Two Squares

17. Difference of Two Squares1) 2)

18. Difference of Two Squares3) 4)

19. Classwork and Homework