## anonymous one year ago Can someone help for a medal?

1. anonymous

A greenhouse that specializes in growing geraniums is divided into sections. The number of geranium pots in each section depends on the number of sprinklers in that section. There are x(7x − 2) pots of red geraniums and (x + 3)2 pots of pink geraniums in a section with x sprinklers. Which simplified expression represents the total number of red and pink geranium pots in a section with x sprinklers? 8x2 + 4x + 9 8x2 + 6x + 9 8x2 + 6x + 7 8x4 + 4x2 + 9

2. Plasmataco

ok

3. Plasmataco

graph?

4. anonymous

Nope, did not come with one :(

5. Plasmataco

the first one. Im not that sure tho

6. Plasmataco

yup, the first 1

7. anonymous

What made you choose the first one?

8. anonymous

@Plasmataco

9. anonymous

Is he correct?

10. jim_thompson5910

what does x*(7x-2) simplify to?

11. anonymous

7x^2 - 2x

12. jim_thompson5910

13. anonymous

x^2 + 9?

14. jim_thompson5910

nope

15. jim_thompson5910

close though

16. jim_thompson5910

you have to FOIL

17. jim_thompson5910

\[\Large (a+b)^2 \neq a^2 + b^2\]

18. jim_thompson5910

\[\Large (a+b)^2 = (a+b)*(a+b)\] then FOIL

19. anonymous

I never understood how to use FOIL :(

20. jim_thompson5910

why not try a table then

21. jim_thompson5910

|dw:1434587606302:dw|

22. jim_thompson5910

fill out the table by multiplying the headers eg: x times 3 = 3x |dw:1434587643368:dw|

23. anonymous

Ooh, this method is completely new to me. So would the top left be x^2?

24. jim_thompson5910

yes since x times x = x^2 |dw:1434587719782:dw|

25. anonymous

And the bottom left would be 3x

26. jim_thompson5910

yep |dw:1434587746108:dw|

27. anonymous

Alright, so what next?

28. jim_thompson5910

we fill out the last box 3 times 3 = 9 |dw:1434587803197:dw|

29. anonymous

Oh you do that side too??

30. jim_thompson5910

then we add up all of the expressions inside the table |dw:1434587822641:dw|

31. anonymous

Well, box I mean. Haha, sorry about that

32. jim_thompson5910

yeah the entire table needs to be filled out

33. anonymous

So x^2 + 6x + 9

34. jim_thompson5910

very good

35. jim_thompson5910

so (x+3)^2 = x^2 + 6x + 9

36. jim_thompson5910

37. anonymous

8x^2 + 5x + 9?

38. jim_thompson5910

close

39. anonymous

What did I do wrong? Am I supposed to add the exponents? Or...?

40. jim_thompson5910

line up the terms and add straight down |dw:1434587769859:dw|

41. jim_thompson5910

the exponents stay the same

42. jim_thompson5910

\[\Large 7x^2 + x^2 = 8x^2\] \[\Large 7x^2 + x^2 \neq 8x^4\]

43. anonymous

OH MY GOD I FEEL SO STUPID

44. anonymous

I messed up simple subtraction...

45. jim_thompson5910

don't beat yourself up, it's fine

46. anonymous

7x^2 + 4x + 9. Sorry about that :D

47. anonymous

8x^2 + 4x + 9*

48. jim_thompson5910

looks good |dw:1434588029526:dw|

49. anonymous

Alright, so what do we do from here?

50. jim_thompson5910

the problem is done now

51. anonymous

Oh, yeah my bad. I was looking at the wrong question on my sheet. Sorry about that. Thank you so much!

52. jim_thompson5910

no problem

53. anonymous

@jim_thompson5910 One more thing. You should really be a qualified helper. You are so good at breaking down the steps to a point where really anyone can understand it. You really should get paid to do help others if you don't already.