Hi Mersenneforum,

With respect to exercise 94,

94. Show that every function from

to itself can be specified using a

polynomial of degree at most 2

(or the zero polynomial).

I want to clarify, when you write that we

want a function 'to itself' we can assume that

The domain and the range are the same set?

For example suppose f(0)=0, f(1) = 1 and f(2) = 1.

This would not meet the criterion for exercise 94,

right?

I assume the domain is {0,1,2} and the range is the same.

I see '3 choose 2' or 6 cases that need to be considered for 94.

Thank you, Nick for taking the time to write this up and put it on the internet.

Regards,

Matt