Can someone help for a medal?

- anonymous

Can someone help for a medal?

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- 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

- Plasmataco

ok

- Plasmataco

graph?

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## More answers

- anonymous

Nope, did not come with one :(

- Plasmataco

the first one. Im not that sure tho

- Plasmataco

yup, the first 1

- anonymous

What made you choose the first one?

- anonymous

@Plasmataco

- anonymous

Is he correct?

- jim_thompson5910

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

- anonymous

7x^2 - 2x

- jim_thompson5910

how about (x+3)^2 ?

- anonymous

x^2 + 9?

- jim_thompson5910

nope

- jim_thompson5910

close though

- jim_thompson5910

you have to FOIL

- jim_thompson5910

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

- jim_thompson5910

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

- anonymous

I never understood how to use FOIL :(

- jim_thompson5910

why not try a table then

- jim_thompson5910

|dw:1434587606302:dw|

- jim_thompson5910

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

- anonymous

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

- jim_thompson5910

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

- anonymous

And the bottom left would be 3x

- jim_thompson5910

yep
|dw:1434587746108:dw|

- anonymous

Alright, so what next?

- jim_thompson5910

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

- anonymous

Oh you do that side too??

- jim_thompson5910

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

- anonymous

Well, box I mean. Haha, sorry about that

- jim_thompson5910

yeah the entire table needs to be filled out

- anonymous

So x^2 + 6x + 9

- jim_thompson5910

very good

- jim_thompson5910

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

- jim_thompson5910

now add 7x^2 - 2x and x^2 + 6x + 9 to get your answer

- anonymous

8x^2 + 5x + 9?

- jim_thompson5910

close

- anonymous

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

- jim_thompson5910

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

- jim_thompson5910

the exponents stay the same

- jim_thompson5910

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

- anonymous

OH MY GOD I FEEL SO STUPID

- anonymous

I messed up simple subtraction...

- jim_thompson5910

don't beat yourself up, it's fine

- anonymous

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

- anonymous

8x^2 + 4x + 9*

- jim_thompson5910

looks good
|dw:1434588029526:dw|

- anonymous

Alright, so what do we do from here?

- jim_thompson5910

the problem is done now

- anonymous

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

- jim_thompson5910

no problem

- 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.

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