Can someone help for a medal?

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Can someone help for a medal?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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
ok
graph?

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Nope, did not come with one :(
the first one. Im not that sure tho
yup, the first 1
What made you choose the first one?
Is he correct?
what does x*(7x-2) simplify to?
7x^2 - 2x
how about (x+3)^2 ?
x^2 + 9?
nope
close though
you have to FOIL
\[\Large (a+b)^2 \neq a^2 + b^2\]
\[\Large (a+b)^2 = (a+b)*(a+b)\] then FOIL
I never understood how to use FOIL :(
why not try a table then
|dw:1434587606302:dw|
fill out the table by multiplying the headers eg: x times 3 = 3x |dw:1434587643368:dw|
Ooh, this method is completely new to me. So would the top left be x^2?
yes since x times x = x^2 |dw:1434587719782:dw|
And the bottom left would be 3x
yep |dw:1434587746108:dw|
Alright, so what next?
we fill out the last box 3 times 3 = 9 |dw:1434587803197:dw|
Oh you do that side too??
then we add up all of the expressions inside the table |dw:1434587822641:dw|
Well, box I mean. Haha, sorry about that
yeah the entire table needs to be filled out
So x^2 + 6x + 9
very good
so (x+3)^2 = x^2 + 6x + 9
now add 7x^2 - 2x and x^2 + 6x + 9 to get your answer
8x^2 + 5x + 9?
close
What did I do wrong? Am I supposed to add the exponents? Or...?
line up the terms and add straight down |dw:1434587769859:dw|
the exponents stay the same
\[\Large 7x^2 + x^2 = 8x^2\] \[\Large 7x^2 + x^2 \neq 8x^4\]
OH MY GOD I FEEL SO STUPID
I messed up simple subtraction...
don't beat yourself up, it's fine
7x^2 + 4x + 9. Sorry about that :D
8x^2 + 4x + 9*
looks good |dw:1434588029526:dw|
Alright, so what do we do from here?
the problem is done now
Oh, yeah my bad. I was looking at the wrong question on my sheet. Sorry about that. Thank you so much!
no problem
@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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