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11.6 – Solving Quadratic Equations by Factoring

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Algebra 1 - Adventist Education

... Value God’s inspired writings and created works as a revelation of His precision, accuracy, and exactness. Develop accountability as expressed in God’s word and laws. Employ Christian principles as a basis for learning and growth. Broaden intellectual abilities through the study of mathematics. Make ...
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... of the form a+√b where a and b are rational • Euclid: study of numbers of the form a b • No progress in the theory of irrationals until the Renaissance, except for Fibonacci result (1225): roots of x3+2x2+10x=20 are not any of Euclid’s irrationals • Fibonacci did not prove that these roots are not ...
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System of polynomial equations

A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k.Usually, the field k is either the field of rational numbers or a finite field, although most of the theory applies to any field.A solution is a set of the values for the xi which make all of the equations true and which belong to some algebraically closed field extension K of k. When k is the field of rational numbers, K is the field of complex numbers.
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