| 11. | The theorems are statements about the solutions of the following system of polynomial equations
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| 12. | He also developed the concept of a quintic and higher-order polynomial equations using numerical methods.
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| 13. | The "'resultant "'of two polynomials with bivariate polynomial equation.
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| 14. | Many other combinations of constraints are possible for these and for higher order polynomial equations.
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| 15. | The quadratic equation only contains second degree polynomial equation since the greatest power is two.
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| 16. | Complex numbers thus form an algebraically closed field, where any polynomial equation has a root.
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| 17. | Algebraic geometry examines the use of polynomial equations.
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| 18. | Algebraic geometry is the study of the solutions in an algebraically closed field of multivariate polynomial equations.
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| 19. | He also offered, without proof, a rule to determine the number of imaginary roots of polynomial equations.
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| 20. | The transform turns integral equations and differential equations to polynomial equations, which are much easier to solve.
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