anonymous
  • anonymous
anyone good at multiplying polinolyals?
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
post the question please
anonymous
  • anonymous
(y+2)(x+3)
jim_thompson5910
  • jim_thompson5910
what I would do is create a table like this |dw:1440551733478:dw|

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jim_thompson5910
  • jim_thompson5910
the y+2 goes up top |dw:1440551751828:dw|
jim_thompson5910
  • jim_thompson5910
and the x+3 goes off to the side |dw:1440551769374:dw|
jim_thompson5910
  • jim_thompson5910
to fill this table out, we just multiply the headers example: 2 times 3 = 6 which goes in the second row, second column |dw:1440551792711:dw|
jim_thompson5910
  • jim_thompson5910
do you see how to fill out the rest?
anonymous
  • anonymous
kinda but the first one no
jim_thompson5910
  • jim_thompson5910
x times y is simply xy |dw:1440551935391:dw|
jim_thompson5910
  • jim_thompson5910
2 times x is equal to what?
anonymous
  • anonymous
2x
jim_thompson5910
  • jim_thompson5910
yes |dw:1440552012525:dw|
jim_thompson5910
  • jim_thompson5910
and the last box?
anonymous
  • anonymous
3y
jim_thompson5910
  • jim_thompson5910
|dw:1440552095890:dw|
jim_thompson5910
  • jim_thompson5910
now you just add up everything in the boxes \[\Large xy + 2x + 3y + 6\] there are no like terms to combine so we leave it as that
jim_thompson5910
  • jim_thompson5910
this all means \[\Large (x+3)(y+2) = xy + 2x + 3y + 6\]
anonymous
  • anonymous
3x 4y and 6
jim_thompson5910
  • jim_thompson5910
what do you mean?
anonymous
  • anonymous
thats all them added
anonymous
  • anonymous
but idk what to do with the 6
jim_thompson5910
  • jim_thompson5910
you cannot add 3x to 2y to get 5x or 5y or 5xy they aren't like terms
anonymous
  • anonymous
i added 3y and y
jim_thompson5910
  • jim_thompson5910
\(\Large xy + 2x + 3y + 6\) is as simplified as it gets
jim_thompson5910
  • jim_thompson5910
there is no y term other than the 3y the xy cannot be added to 3y to get 4y
anonymous
  • anonymous
so i dont need to use horizontal or vertical method?
jim_thompson5910
  • jim_thompson5910
you could if you want, but I prefer the table.
jim_thompson5910
  • jim_thompson5910
the horizontal or vertical method makes it hard to keep track of the individual terms whereas the table doesn't have that problem
anonymous
  • anonymous
so are there going to be other probs where they are more simplified?
jim_thompson5910
  • jim_thompson5910
yes, for example (x+2)(x-7) |dw:1440552711856:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1440552729820:dw|
jim_thompson5910
  • jim_thompson5910
we now have like terms 2x and -7x they combine to -5x
jim_thompson5910
  • jim_thompson5910
so, (x+2)(x-7) = x^2 - 5x - 14
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
thanks
jim_thompson5910
  • jim_thompson5910
no problem

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