# Greatest Common Divisor of Polynomials

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Let f(x) = x^4+2x^3âˆ’x^2âˆ’4xâˆ’2 and g(x) = x^4+x^3âˆ’x^2âˆ’2xâˆ’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).

https://brainmass.com/math/number-theory/greatest-common-divisor-polynomials-127343

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Let f(x) = x^4+2x^3âˆ’x^2âˆ’4xâˆ’2 and g(x) = x^4+x^3âˆ’x^2âˆ’2xâˆ’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) + ...

#### Solution Summary

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

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