September 5th, 2015, 02:35 AM  #1 
Member Joined: Apr 2015 From: Indonesia Posts: 53 Thanks: 2  Intermediate Value Theorem
The question attached below. I tried to solve it with piecewise linear function but I still can't. Can someone help me?

September 11th, 2015, 06:05 PM  #2 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,134 Thanks: 88 
Pn(x)c=0 has precisely n solutions. Pn(x) is a polyhomial.

September 11th, 2015, 09:41 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,943 Thanks: 2268 Math Focus: Mainly analysis and algebra 
That's only true for one $c$ per function though (well, it may be more, but not all $c$). I would look at functions like ${1 \over xa} + {1 \over xb} + {1 \over xc}$. 
September 12th, 2015, 03:47 AM  #4 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,134 Thanks: 88 
(xx1)(xx2)(xx3)=0 x3=c/x1x2 

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