Question: Prove that for any integer coefficientspolynomial f(x) and any prime p that f(x)=0mod(p^2) has either p^2 solutions or atleast p^2+p+1 solutions in Z_(p^2).

 Prove that for any integer coefficientspolynomial f(x) and any prime p

that f(x)=0mod(p^2) has either p^2 solutions or atleast p^2+p+1 solutions in Z_(p^2).

Prove that for any integer coefficientspolynomial f(x) and any prime p that f(x)=0mod(p^2) has either p^2 solutions or atleast p^2+p+1 solutions in Z_(p^2).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!