anonymous
  • anonymous
Explain, in complete sentences, how you would use the two methods (distribution and box method) to find the product of (x – 2)(x – 3). Which method do you prefer and why?
Mathematics
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SOLVED
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chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
Distribution method: (x – 2)(x – 3) x(x-3) - 2(x-3) Distribute and simplify
jim_thompson5910
  • jim_thompson5910
Box method |dw:1341862488934:dw|
jim_thompson5910
  • jim_thompson5910
Each cell is found by multiplying the row header and the column header Ex: The upper right cell is found by multiplying the row header (x) by the column header (-2) to get -2x

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jim_thompson5910
  • jim_thompson5910
Once you've filled out the boxes, you add up all the terms
anonymous
  • anonymous
so can you do the box method and explain with the answer jim_thompson5910
jim_thompson5910
  • jim_thompson5910
What is x times x?
TheViper
  • TheViper
x^2
jim_thompson5910
  • jim_thompson5910
I'm asking Nick2019 because I want to make sure he knows this (sorry, I don't mean to sound rude TheViper) So since x times x is x^2, this updates the boxes to get |dw:1341863362988:dw|
jim_thompson5910
  • jim_thompson5910
Do the same with the other boxes and tell me what you get
anonymous
  • anonymous
lol sorry i left can i just get the asnwer lol
jim_thompson5910
  • jim_thompson5910
what is x times -2 ?
anonymous
  • anonymous
-2x
jim_thompson5910
  • jim_thompson5910
So the boxes updates to |dw:1341870148582:dw|
jim_thompson5910
  • jim_thompson5910
What is -3 times x
anonymous
  • anonymous
-3x and then possitive 6
jim_thompson5910
  • jim_thompson5910
so we then get |dw:1341870959503:dw|
jim_thompson5910
  • jim_thompson5910
Now add up all the terms in the boxes x^2 + (-2x) + (-3x) + 6 x^2 - 2x - 3x + 6 x^2 - 5x + 6 So (x-2)(x-3) = x^2 - 5x + 6
anonymous
  • anonymous
thansk for the help i get it now
jim_thompson5910
  • jim_thompson5910
yw
anonymous
  • anonymous
?
jim_thompson5910
  • jim_thompson5910
yw = you're welcome
anonymous
  • anonymous
OH OK Thanks
jim_thompson5910
  • jim_thompson5910
sure thing

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