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and the segment is 3. Find the possible minimum value of 
such that for any polynomial 
of degree 
with real coefficients, there exists a polynomial 
of degree at most with real coefficients such that the graphs of 
and 
intersect at exactly points?
+1 w
be a convex quadrilateral. If 
are the midpoints of the segments 
, and 
, respectively, and there is also a point inside the quadrilateral such that, 
and 
. Show that 
.
. There is a candle inside the angle. How many reflections of the candle can an observer see?
![$[{\frac{360}{\alpha}}]-1$](http://latex.artofproblemsolving.com/c/b/3/cb3efb5a8ed0ef81633dfbeb4d5c9315089e6ad7.png)
(where is in degrees and ![$[.]$](http://latex.artofproblemsolving.com/0/6/0/06030c213549a6aaae52b1daf08720ec217c42a3.png)
denotes the greatest integer function). But I don't know how to get it. Someone please help. Peace.
and 
Prove that
