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Lesson 2.2 Multiplication Principle of Equality
Lesson 2.2 Multiplication Principle of Equality

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... If P(x) is a polynomial whose coefficients (and constant) are integers, C is the set of all factors, positive and negative, of the constant term of P(x), and D is the set of all factors of the leading coefficient of P(x), then all rational solutions to P(x) = 0 must be of the form p/q, where p is a ...
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Ordered Pairs and Linear Equations

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Solving Equations in Rings

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Matrix Methods

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... 2. By inspection, state the solution set. (What do the lines do: intersect, parallel, or same line?) 3. Check the solution in both original equations (when there is one solution). Examples: Find the solution set of the system by graphing the equations by hand. If the system is inconsistent or depend ...
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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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