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  3. a) prove by induction that if a product of n polyn

a) Prove by induction that if a product of n polynomials is divisible by an irreducible...

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Advance Math

a) Prove by induction that if a product of n polynomials isdivisible by an irreducible polynomial p(x) then at least one ofthem is divisible by p(x). You can assume without a proof that thisfact is true for two polynomials.
b) Give an example of three polynomials a(x), b(x) and c(x), suchthat c(x) divides a(x) ·b(x), but c(x) does not divide neither a(x)nor b(x).

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