## anonymous one year ago WILL FAN AND MEDAL!! I NEED HELP WITH DIVIDING POLYNOMIALS.

1. anonymous

2. anonymous

3. anonymous

HELP PLEASE AND I NEED EXPLANATIONS

4. jim_thompson5910

Rule: $\LARGE \frac{x^a}{x^b} = x^{a-b}$ so when we divide two exponential expressions with the same base, you subtract the exponents

5. jim_thompson5910

example $\LARGE \frac{x^9}{x^4} = x^{9-4}=x^5$

6. anonymous

I GOT 1 AND 2. what about the rest?

7. jim_thompson5910

the rule also allows the base to be a number (instead of a letter) example: $\LARGE \frac{7^8}{7^3} = 7^{8-3}=7^5 = 16,807$ notice how I made x = 7 be the base

8. jim_thompson5910

Another rule to memorize or write down: $\Large x^0 = 1$ where x is any number but zero

9. anonymous

alright so that covers number 4. what about #3 @jim_thompson5910

10. jim_thompson5910

how far did you get with #3?

11. jim_thompson5910

you'll use the rule I've mentioned above

12. anonymous

i wasnt sure how to do it

13. anonymous

which

14. jim_thompson5910

tbh I can barely see it since it's so small

15. anonymous

16. anonymous

is it -16?

17. jim_thompson5910

what do you get when you subtract the exponents?

18. anonymous

4^-2

19. anonymous

then i got -16

20. jim_thompson5910

4^(-2) is not equal to -16

21. jim_thompson5910

another rule $\LARGE x^{-k} = \frac{1}{x^k}$

22. anonymous

oohh

23. anonymous

i got everything else except 7 and 8

24. jim_thompson5910

so using that rule gives us... $\LARGE 4^{-2} = \frac{1}{4^2} = \frac{1}{16}$

25. jim_thompson5910

post each of those individually

26. anonymous

27. jim_thompson5910

for #7, you will multiply the outer term (4a) by each of the inner terms. Then you add up those products.

28. jim_thompson5910

#8 you can use the FOIL rule, but I prefer this visual table method |dw:1432857540600:dw|

29. anonymous

so its c?

30. jim_thompson5910

you would fill out the table by multiplying the headers example: 3y times 2y = 6y^2 |dw:1432857602213:dw|

31. jim_thompson5910

do the same for the other table cells then add up each expression in each of the cells (combine like terms if possible)

32. anonymous

so is it b or c?

33. anonymous

i think B

34. anonymous

for 7

35. jim_thompson5910

yeah B

36. anonymous

im a little confused on 8

37. jim_thompson5910

do you see how to fill out the table?

38. anonymous

yea

39. anonymous

what do i do with the information

40. jim_thompson5910

show me the filled out table (click the pencil on my drawing. Draw in the expressions that would complete the table)

41. anonymous

|dw:1432857959975:dw|

42. anonymous

During the American Civil War the Union and the Confederacy both had advantages. The Union had _____________________ while the Confederacy had ______________________. A. Money & population; Leadership & familiar land B. More experienced officers; More railroad & telegraph lines C. Stronger air force; Stronger navy D. The Force; The Dark Side

43. jim_thompson5910

very good @Kitten021815

44. jim_thompson5910

notice how the -4y and -9y are like terms, so they combine to -4y + (-9y) = -13y

45. jim_thompson5910

|dw:1432858043715:dw|

46. anonymous

thanks so much

47. jim_thompson5910

|dw:1432858070838:dw|