Ask your own question, for FREE!
Mathematics 10 Online
OpenStudy (anonymous):

how do i divide x^2+3x-1 by 2x^5+3x^3+2x^2-x+1?

OpenStudy (shadowfiend):

So, this division is the same as creating the fraction: $$ \frac{2x^5 + 3x^3 + 2x^2 - x + 1}{x^2 + 3x - 1} $$

OpenStudy (shadowfiend):

Er, sorry, other way. $$ \frac{x^2 + 3x - 1}{2x^5 + 3x^3 + 2x^2 - x + 1} $$

OpenStudy (shadowfiend):

This breaks up into: $$\frac{x^2}{2x^5 + 3x^3 + 2x^2 -x + 1} + \frac{3x}{2x^5 + 3x^3 + 2x^2 -x + 1} + \frac{-1}{2x^5 + 3x^3 + 2x^2 -x + 1} $$ You can do the division on each individual part, but you'll end up with negative exponents (or fractions) everywhere.

OpenStudy (shadowfiend):

That was a bit too long, sorry. It breaks up into: \[\begin{align}\frac{x^2}{2x^5 + 3x^3 + 2x^2 -x + 1} + \frac{3x}{2x^5 + 3x^3 + 2x^2 -x + 1} \\+ \frac{-1}{2x^5 + 3x^3 + 2x^2 -x + 1}\end{align}\]

OpenStudy (anonymous):

Use long division?

OpenStudy (anonymous):

Are we sure the OP has the division right side up? If so, the first term of the quotient (from long division) is 1/2 x^(-3), and the quotient goes on for an infinite number of terms, I think. Dividing the other way round makes more sense to me.

OpenStudy (shadowfiend):

That would indeed much nicer.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13: Can i dm anybody to vent having a rough time ??
8 hours ago 1 Reply 0 Medals
kaelynw: starting to draw a hand
8 hours ago 15 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
8 hours ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
8 hours ago 4 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
1 day ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
1 day ago 27 Replies 3 Medals
kaelynw: art igg
1 day ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!