Besides numerous minor works, wrote a Théorie générale des équations algébriques, published at Paris in 1779, which in particular contained much new and valuable matter on the theory of elimination and symmetrical functions of the roots of an equation: he used determinants in a paper in the Histoire de l'académie royale, 1764, but did not treat of the general theory.
See also
Bézout's theorem
Bézout's identity
External link
"Étienne Bézout" in The MacTutor History of Mathematics Archive (http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Bezout.html)