![$P\in\mathbb{Z}[x]$](http://latex.artofproblemsolving.com/f/3/d/f3d763f4197792a2956273485eb1e94700a43044.png)
has degree 
having 
.
is the leading coefficient of 
,
be all positive integers smaller than 
such that 
for all 
is the largest positive integer that divides both 
.
.
that satisfy 
are positive real numbers, then
Y by Adventure10
Suppose that there is a point 
inside a convex quadrilateral 
such that the triangles 
, 
, 
, 
have equal areas. Prove that one of the diagonals bisects the area of .
inside a convex quadrilateral 
such that the triangles 
, 
, 
, 
have equal areas. Prove that one of the diagonals bisects the area of .
