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Greatest Common Divisor of Polynomials

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Let f(x) = x^4+2x^3−x^2−4x−2 and g(x) = x^4+x^3−x^2−2x−2. Find the
greatest common divisor d(x) of f(x) and g(x) in Q[x]. Find polynomials
a(x), b(x) in Q[x] such that d(x) = a(x)f(x) + b(x)g(x).

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Solution Summary

Greatest common divisor of given polynomials is found. The expert finds the polynomial functions.

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Let f(x) = x^4+2x^3−x^2−4x−2 and g(x) = x^4+x^3−x^2−2x−2. Find the
greatest common divisor d(x) of f(x) and g(x) in Q[x]. Find polynomials
a(x), b(x) in Q[x] such that d(x) = a(x)f(x) + ...

Purchase this Solution


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