The Collegiate Algebra Adapted to Colleges And Universities

James B James Bates Thomson

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INDETERMINATE COEFFICIENTS.
418. Indeterminate Coefficients are letters assumed to represent certain unknown coefficients during the process by which these coefficients are determined.
419. The Theory of Indeterminate Coefficients is expressed by the following Theorem.
If a 'polynomial function of a single variable be equal to zero for all values of that variable, the coefficients of the differ- ent potvers of the variable ivill each be equal to zero.
Demonstration. — Let Ax a + Bx b + Cx c + B...x& + etc. = o (i) be the given equation, in which a

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