Polynomials

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    Sowmya-Praveen
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    Given p(x) and q(x), show that there exist a pair of polynomials a(x) and b(x) such that a(x) + b(x) = p(x) and gcd( a(x), b(x) ) = q(x) iff q(x)|p(x). Please help me with this problem

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