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Suppose you Do not know anything about Extended Euclidean Algorithm. How to find t(x) and s(x)...

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Advance Math

Suppose you Do not know anything about Extended EuclideanAlgorithm. How to find t(x) and s(x) that satisfy the greatesecommon divisor of f(x) and g(x) equals to f(x)t(x)+g(x)s(x) inQ(x). You can give me an example(polynomials) if you want. Thankyou!

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