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First example of algebra: occurred in Egypt and Babylon.
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Discovery that that not all lengths are measurable by the common unit
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First to introduce systematic symbolism for polynomial equations
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Discovered equations with more than one variable
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this treatise contained all the findings of algebra
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Discovered that “every polynomial with real number coefficients could be expressed as the product of linear and quadratic real number factors or, alternatively, that every polynomial equation of degree n with complex coefficients had n complex roots. “- Brittanica
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Algebra is first taught in schools
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This published the theory of permutation groups
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Made a speech about how algebra applies to geometry
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