Usually math doesn’t give me this sort of trouble, but I can’t seem to wrap my head around or find an explanation for Bezout’s identity for polynomials, which is as follows:
**Bézout’s identity**
As the common [roots](https://en.wikipedia.org/wiki/Root_of_a_polynomial) of two polynomials are the roots of their greatest common divisor, Bézout’s identity and [fundamental theorem of algebra](https://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra) imply the following result:
For univariate polynomials *f* and *g* with coefficients in a field, there exist polynomials *a*and *b* such that *af* + *bg* = 1 if and only if *f* and *g* have no common root in any [algebraically closed field](https://en.wikipedia.org/wiki/Algebraically_closed_field) (commonly the field of [complex numbers](https://en.wikipedia.org/wiki/Complex_number)).
In: Mathematics
I am not trying to be pedantic, but do you understand what Bezout’s assertion means for integers?
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