## anonymous one year ago [Help] Simplify: 2x^4 - 5x^3 - 24x^2 + 13x + 10 over 2x^2 + x +1

1. anonymous

$(2x^4-5x^3-24x^2+13x+10)\div(2x^2+x-1)$

2. alekos

we have to use long division for a polynomial. Have you ever done this before?

3. anonymous

Yes. I'm quite surprised because in the end I only have 10x left.

4. anonymous

My answer is $x^2-3x-10+\frac{ 10x }{2x^2+x-1}$

5. alekos

it should end up as a quadratic ax^2 +bx + c with a possible remainder

6. alekos

yeah that looks right but give me five minutes and i'll check your answer

7. anonymous

Are we allowed to have a variable of 10x in the remainder? It's my first time to encounter such an equation. I usually end up with a constant/divisor. Instead of a value with a variable/divisor.

8. alekos

yes, you're right its normally just a constant but let me get back to you

9. anonymous

Okay, sure thing.

10. alekos

I get 20x on the numerator of the remainder

11. alekos

let me double check my ans

12. anonymous

Oops...I'm sorry. I meant 20x, not 10x. Just a type.

13. alekos

OK so you're right!

14. anonymous

an "x" in the numerator is all right?

15. alekos

it sure is

16. Michele_Laino

17. anonymous

Okay, thanks a lot guys. :)

18. alekos

hey thanks Michele

19. Michele_Laino

:) @alekos