# Dividing one polynomial by another!

$$\frac{r^3+3r^2+4r-8}{r-1}$$

how do i solve that?

and is there a general formula?

thanks!!

Edit by bored Borek: LaTeX corrected.

Last edited by a moderator:

$\frac{r3+3r2+4r-8}{r-1}$

how do i solve that?

and is there a general formula?

thanks!!

r goes into r3 how many times?

eumyang
Homework Helper
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.

Mark44
Mentor
$\frac{r3+3r2+4r-8}{r-1}$

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.
$\frac{r^3+3r^2+4r-8}{r-1}$

R goes it's r^3 3 times? r.r.r?

Thanks mark. Wondered why it wasn't working.

Found a method. Thanks guys:)

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.

Hurkyl
Staff Emeritus
Gold Member
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.

r goes into r^3 r^2 times.
3 times, what a novice response -.-

all good got the solution