Dividing one polynomial by another!

  • Thread starter ProPatto16
  • Start date
  • #1
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[tex]\frac{r^3+3r^2+4r-8}{r-1}[/tex]

how do i solve that?

and is there a general formula?

thanks!!

Edit by bored Borek: LaTeX corrected.
 
Last edited by a moderator:

Answers and Replies

  • #2
445
5
[itex]\frac{r3+3r2+4r-8}{r-1}[/itex]

how do i solve that?

and is there a general formula?

thanks!!

r goes into r3 how many times?
 
  • #3
eumyang
Homework Helper
1,347
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There is polynomial long division, which is what sjb-2812 is hinting. Synthetic division is also possible in this problem. Look both of them up.
 
  • #4
35,287
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[itex]\frac{r3+3r2+4r-8}{r-1}[/itex]

how do i solve that?

and is there a general formula?

thanks!!
Fixed your LaTeX. The SUP tags inside the itex tags were causing it to not render correctly, I believe.
[itex]\frac{r^3+3r^2+4r-8}{r-1}[/itex]
 
  • #5
326
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R goes it's r^3 3 times? r.r.r?

Thanks mark. Wondered why it wasn't working.
 
  • #6
326
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Found a method. Thanks guys:)
 
  • #7
445
5
R goes it's r^3 3 times? r.r.r?

Thanks mark. Wondered why it wasn't working.


Not quite. Would you say 10 goes into 1000 3 times (substituting 10 for r)? Glad you seemed to get it sorted though.
 
  • #8
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
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Found a method. Thanks guys:)
Excellent! I think it's neat that arithmetic with polynomials is so very similar to arithmetic with integers. And not just the four arithmetic operations -- you also have other things, such as unique factorization into primes. (exercise: work out what precisely that should mean)


The analogy actually runs very, very deep -- you might see more of it if you ever go into algebraic number theory or into algebraic geometry.
 
  • #9
326
0
r goes into r^3 r^2 times.
3 times, what a novice response -.-

all good got the solution
 

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