anonymous
  • anonymous
Please help: Dividing Polynomials Stay tuned will draw it.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1336152715827:dw|
eSpeX
  • eSpeX
Like normal division, what would you need to multiply (r+2) by to get close to (r^6+0r-64)?
anonymous
  • anonymous
idk i dont know how can you explain

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eSpeX
  • eSpeX
If I gave you this:|dw:1336153681989:dw| How would you go about solving it?
eSpeX
  • eSpeX
You would say, "what is the largest number I can multiply 6 by to get the first number?" Since 6 is greater than 4 you would ask the question again about 42. The same logic applies to your problem... What do I need to multiply 'r' by to get r^6?|dw:1336153892815:dw|
eSpeX
  • eSpeX
Make sense?
anonymous
  • anonymous
\[ r^6-64=(r-2) (r+2) \left(r^2-2 r+4\right) \left(r^2+2 r+4\right) \] You can also factor before if it is permitted. Division will be easy by r+2
eSpeX
  • eSpeX
Not even sure if basic division makes sense at this point. :p
amistre64
  • amistre64
to be fair, 6 *n = 4 when n=4/6 :)
amistre64
  • amistre64
|dw:1336178970658:dw|
amistre64
  • amistre64
notice that when we want to zero out the first term; we multiply by that term divded by the one on the outside same pattern applies to polys
anonymous
  • anonymous
ok but i get the positive and negatives mixed up
amistre64
  • amistre64
|dw:1336179161444:dw|
amistre64
  • amistre64
i get positives and negatives mixed up to, which is why i always have to dbl or trpl chk my outcomes
amistre64
  • amistre64
the key being, the top is just the division of the first terms each time till you decide to stop
amistre64
  • amistre64
usually you simplfy the top as you go tho and wouldnt leave it in that structure
anonymous
  • anonymous
hmmm
amistre64
  • amistre64
its no different form what they taught you back in the 3rd or 4th grade :) you just gotta practice it to get more confident at it, but theres nothing new to it overall
anonymous
  • anonymous
i wish it was like that for me but i get the numbers right just wrong signs :(
amistre64
  • amistre64
wrong signs tend to be a result of forgeting that you are subtracting everything; just like normal: 8 -------- 4 ) 34 8(4) = 32 do we add or subtract the 32 to get the next line?
anonymous
  • anonymous
subtract i believe
amistre64
  • amistre64
correct, and its the same basic concept when using polys to; division is division no matter what you use
anonymous
  • anonymous
o k

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