Nick2019
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?
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jim_thompson5910
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Distribution method:
(x – 2)(x – 3)
x(x-3) - 2(x-3)
Distribute and simplify
jim_thompson5910
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Box method
|dw:1341862488934:dw|
jim_thompson5910
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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
jim_thompson5910
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Once you've filled out the boxes, you add up all the terms
Nick2019
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so can you do the box method and explain with the answer jim_thompson5910
jim_thompson5910
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What is x times x?
TheViper
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x^2
jim_thompson5910
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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
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Do the same with the other boxes and tell me what you get
Nick2019
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lol sorry i left can i just get the asnwer lol
jim_thompson5910
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what is x times -2 ?
Nick2019
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-2x
jim_thompson5910
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So the boxes updates to
|dw:1341870148582:dw|
jim_thompson5910
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What is -3 times x
Nick2019
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-3x and then possitive 6
jim_thompson5910
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so we then get
|dw:1341870959503:dw|
jim_thompson5910
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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
Nick2019
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thansk for the help i get it now
Nick2019
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?
jim_thompson5910
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yw = you're welcome
Nick2019
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OH OK Thanks
jim_thompson5910
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sure thing