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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
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?
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
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
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
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?
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!
@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.