SOLUTION: Show that every polynomial of degree 1,2 or 4 in Z2[t] has a root in Z2[t](t^4+t=1)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Show that every polynomial of degree 1,2 or 4 in Z2[t] has a root in Z2[t](t^4+t=1)      Log On


   

Question 31644: Show that every polynomial of degree 1,2 or 4 in Z2[t] has a root in
Z2[t](t^4+t=1)
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
I DONT THINK THE PROBLEM IS CORRECT
IN Z2
F(T)=T^2+T+1...IS A SECOND DEGREE POLYNOMIAL...IT HAS NO ZERO IN REAL FIELD OF Z2, AND IS NOT REDUCIBLE.PLEASE CHECK BACK WITH YOUR BOOK/QUESTION SOURCE OR CLASS TEACHER