Posted by Peter on Thursday, October 27, 2011 at 2:43am.
(4a³b + 5a²b² + a⁴ + 2ab³)÷ (a² + 2b² + 3ab)

Algebra 2  Peter, Thursday, October 27, 2011 at 2:44am
Please use the long division method for this problem.

Algebra 2  Reiny, Thursday, October 27, 2011 at 8:17am
Awfully hard to show algebraic long division in this text forum.
Google "algebraic long division" and follow the method shown by numerous excellent pages.
Make sure you write it down as
(a^4 + 4a^3b + 5a^2b^2 + 2ab^3) ÷ (a^2 + 3ab + 2b^2)
I had a+ab 
Algebra 2  Steve, Thursday, October 27, 2011 at 10:54am
Oops. That'd be a^{2}+ab