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3. let p in z be in a prime number and...

# Question: let p in z be in a prime number and...

###### Question details

Let p in Z be in a prime number and define φ : Zp[x] → Zp[x] by φ(f(x))=f(x)p.

1. Prove φ is a ring homomorphism.

2. Calculate Ker(φ).