SOLUTION: x^7-x^4+3x^2-12x+2/6x^5 This is a problem called Dividing Polynomials and I need help please and thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^7-x^4+3x^2-12x+2/6x^5 This is a problem called Dividing Polynomials and I need help please and thank you.      Log On


   

Question 696108: x^7-x^4+3x^2-12x+2/6x^5
This is a problem called Dividing Polynomials and I need help please and thank you.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You wrote x^7-x^4+3x^2-12x+2/6x^5=x%5E7-x%5E4%2B3x%5E2-12x%2B2%2F6x%5E5

You most likely meant (x^7-x^4+3x^2-12x+2)/6x^5=%28x%5E7-x%5E4%2B3x%5E2-12x%2B2%29%2F6x%5E5

If you are expected to find a quotient polynomial and a remainder polynomial,
highlight%28quotient=%281%2F6%29x%29 and highlight%28remainder=%28-x%5E4%2B3x%5E2-12x%2B2%29%2F6x%5E5%29
That is what is usually done with polynomials.
It's like dividing 25 by 8, finding a quotient of 3 and a remainder of 1.

You can keep dividing the remainder, as in 25%2F8=3.125, but that is not usually done and ends up in ugly expressions:

You could write the final expression differently:

but it does not get much prettier.