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![SOLVED: (PRIME IDEALS IN Z[X]) Consider the ring Z[X]. Consider the map φ: Z[X] â†' Z given by φ(f) = f(0), which is obviously a ring homomorphism. Show that ker φ = (](https://cdn.numerade.com/ask_images/b039fdff90814846b1e77d3ea4b91a5b.jpg "SOLVED: (PRIME IDEALS IN Z[X]) Consider the ring Z[X]. Consider the map φ: Z[X] â†' Z given by φ(f) = f(0), which is obviously a ring homomorphism. Show that ker φ = (")