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(a) Let p(z) = x a F[z] be a linear polynomial. Since p(x) is irreducible over F' we have that E := F|z]|/(p(x)) is a field containing F' and a root of p(z). Show that E = F. (b) Let p(x) C[z] be a polynomial, irreducible over C. Let E := C[z]|/(p(x)). Show that = C. Hint: which polynomials are irreducbile over the complex numbers