Y by jhu08, Adventure10, Mango247, and 1 other user
Let
denote the set of real numbers. Find all functions
such that
![\[f(x^2)+f(xy)=f(x)f(y)+yf(x)+xf(x+y)\]](//latex.artofproblemsolving.com/5/b/e/5be34cb26d276bae3c60fb299ad66d83bc158a01.png)
for all
.


![\[f(x^2)+f(xy)=f(x)f(y)+yf(x)+xf(x+y)\]](http://latex.artofproblemsolving.com/5/b/e/5be34cb26d276bae3c60fb299ad66d83bc158a01.png)
for all

This post has been edited 1 time. Last edited by WakeUp, Nov 19, 2010, 8:18 PM
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