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a) List all associates of x^2 +2x + 3 in Z5[x] b) Is x^2 +2x +2 irreducible in Z3[x]? in Z5[x]?
a) List all associates of x^2 +2x + 3 in Z5[x]
b) Is x^2 +2x +2 irreducible in Z3[x]? in Z5[x]?
c) Find all irrecudible polynomials of degree 3 in Z2[x].
d) Find the remainder when f(x)= 3x^5 + x^4 + 4x^3 + x^2 + 2x+ 1 is divided by g(x) = x+ 2 in Z5[x].