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Solving Linear Systems
Solving Linear Systems

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... (Example: If dividing by x – 2 , divide by +2) 2) Always use PLACEHOLDERS for missing coefficients of a descending order polynomial (Example: If x4 – 3x2 + 4x + 6 is given, use 1+ 0 – 3 + 4 + 6 on the first line 3) Remove the variables for this style of division on the first line 4) The Leading Coef ...
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< 1 ... 409 410 411 412 413 414 415 416 417 ... 449 >

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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