François Viète worked on algebraic notation and relations between polynomial roots and coefficients.[ref]
François Viète by John Joseph O'Connor and Edmund Frederick Robertson. MacTutor biography: quick information and mathematical work
Portrait of François Viète
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François Viète (also known as Francis Vieta) was a French mathematician born on February 5, 1540, and died on February 23, 1603. He is best known for his contributions to algebra, particularly for developing a systematic approach to the application of algebraic methods to geometry, and for introducing new notations that significantly advanced mathematical thinking.