![$P\in\mathbb{Z}[x]$](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
The triangle 
has orthocentre 
. The feet of the perpendiculars from to the internal and external bisectors of angle 
(which is not a right angle) are 
and Q. Prove that 
passes through the midpoint of 
.
has orthocentre 
. The feet of the perpendiculars from to the internal and external bisectors of angle 
(which is not a right angle) are 
and Q. Prove that 
passes through the midpoint of 
.This post has been edited 1 time. Last edited by parmenides51, Jun 21, 2022, 2:37 AM
