anonymous
  • anonymous
[Help] Simplify: 2x^4 - 5x^3 - 24x^2 + 13x + 10 over 2x^2 + x +1
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[(2x^4-5x^3-24x^2+13x+10)\div(2x^2+x-1)\]
alekos
  • alekos
we have to use long division for a polynomial. Have you ever done this before?
anonymous
  • anonymous
Yes. I'm quite surprised because in the end I only have 10x left.

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anonymous
  • anonymous
My answer is \[x^2-3x-10+\frac{ 10x }{2x^2+x-1}\]
alekos
  • alekos
it should end up as a quadratic ax^2 +bx + c with a possible remainder
alekos
  • alekos
yeah that looks right but give me five minutes and i'll check your answer
anonymous
  • 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.
alekos
  • alekos
yes, you're right its normally just a constant but let me get back to you
anonymous
  • anonymous
Okay, sure thing.
alekos
  • alekos
I get 20x on the numerator of the remainder
alekos
  • alekos
let me double check my ans
anonymous
  • anonymous
Oops...I'm sorry. I meant 20x, not 10x. Just a type.
alekos
  • alekos
OK so you're right!
anonymous
  • anonymous
an "x" in the numerator is all right?
alekos
  • alekos
it sure is
Michele_Laino
  • Michele_Laino
I confirm that your answer is right! @JustinSpeedster
anonymous
  • anonymous
Okay, thanks a lot guys. :)
alekos
  • alekos
hey thanks Michele
Michele_Laino
  • Michele_Laino

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