Let a(x) = x^4 + 4x^2 + 2x and b(x) = x^3 + x^2 + 1 be polynomials in Z5[x]. Find polynomials s(x) and t(x) ∈ Z5[x] so that 1 = a(x)s(x) + b(x)t(x).

Q: how g(x)=(x-2)^4 is a product of irreducible polynomials over Z3. Please explain.

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A: Topic = Functions

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A: Write as a product of irreducible polynomials over .

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A: As per guidelines, I can do only first three subparts of the question.

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A: In this question , use the given values and solve the equations and find the polynomial.