Let f(x),g(x) belong to R[x] with f(x)=g(x)(mod x)...what can you say about the graphs of y=f(x) and y=g(x)? Well, this says x divides f(x)-g(x)..so one is an odd power and one an even...is there something more to say ?

Printable View

- Mar 25th 2010, 02:35 PMzhupolongjoeQuick question on graphs and modular arithmetic
Let f(x),g(x) belong to R[x] with f(x)=g(x)(mod x)...what can you say about the graphs of y=f(x) and y=g(x)? Well, this says x divides f(x)-g(x)..so one is an odd power and one an even...is there something more to say ?

- Mar 25th 2010, 03:47 PMtonio
- Mar 25th 2010, 04:07 PMzhupolongjoe
They both cross the origin?

- Mar 25th 2010, 04:09 PMtonio
- Mar 25th 2010, 04:46 PMzhupolongjoe
The same....so they have the same y-intercept?

- Mar 25th 2010, 06:36 PMtonio