The document provides examples of multiplying polynomials. Problem 1 multiplies (x-3)*(5x-4) and results in 5x^2-19x+12. Problem 2 multiplies (4+8x)*(-7x+5) and results in -56x^2+12x+20. Problem 3 multiplies (3z+22)*(9z-11) and results in 27z^2+165z-242.

1. Example Problems

2. Problem 1
(x-3)*(5x-4)

3. First (F)
(x-3)*(5x-4)
x*5x=5x^2

4. Outside (O)
(x-3)*(5x-4)
X*-4=-4x

5. Inside (I)
(x-3)*(5x-4)
-3*5x=-15x

6. Last (L)
(x-3)*(5x-4)
-3*-4=12

7. Add them together
5x^2+-4x+-15x+12
5x^2-19x+12

8. Problem 2
(4+8x)*(-7x+5)

9. F
(4+8x)*(-7x+5)
4*-7x=-28x

10. O
(4+8x)*(-7x+5)
4*5=20

11. I
(4+8x)*(-7x+5)
8x*-7x=-56x^2

12. L
(4+8x)*(-7x+5)
8x*5=40x

13. Add them together
-28x+20-56x^2+40x
-56x^2+12x+20

14. Problem 3
(3z+22)*(9z-11)

15. F
(3z+22)*(9z-11)
3z*9z=27z^2

16. O
(3z+22)*(9z-11)
3z*-11=-33z

17. I
(3z+22)*(9z-11)
22*9z=198z

18. L
(3z+22)*(9z-11)
22*-11=-242

19. Add them together
27z^2-33+198z-242
27z^2+165z-242