Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Precalculus Mathematics Homework Help
Polynomial Long Division for Limit Calculation
Reply to thread
Message
[QUOTE="Metal_Zelda, post: 4984952, member: 539686"] [h2]Homework Statement [/h2] [tex]\frac{x^5-a^5}{x^2-a^2}[/tex], where a is some constant. [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] I can't figure out how to do this with long division. With synthetic, I can get to [tex]\frac{a^4+a^3 x+a^2 x^2+a x^3+x^4}{a+x}[/tex] [code] x^3+xa^2+? _______________ x^2-a^2 ) x^5-a^5 -x^5 + x^3a^2 --------------- 0- a^5+x^3a^2 xa^4-x^3a^2 --------------- [/code] Hopefully it's possible to decipher my steps from that diagram, I don't know how to write long division in latex. I'm left with -a^5+xa^4, which doesn't go evenly into the divisor. I thought about writing [tex]\frac{-a^5+xa^4}{x^2-a^2}[/tex] in place of the ? mark, but the entire purpose of this is to take the limit as x->a, and I would be left with division by zero. Surely this isn't only solvable by synthetic division? Edit: For prosperity's sake, the limit is (5a^3)/2 [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Precalculus Mathematics Homework Help
Polynomial Long Division for Limit Calculation
Back
Top