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" Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator. "
College Algebra - Σελίδα 670
των James Harrington Boyd - 1901 - 777 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of the Differential and Integral Calculus with Applications, Τόμος 25

William Shaffer Hall - 1897 - 249 σελίδες
...last term is the only fractional term. So it is necessary to consider only rational fractions in which the degree of the numerator is less than the degree of the denominator. A rational fraction is integrated by decomposing it into a number of simpler partial fractions, which...

A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - 1897 - 436 σελίδες
...fractions by the use of the properties of identities. It is evident that if in the original fraction the degree of the numerator is less than the degree of the denominator, the same must be true in each partial or component fraction. The problem before us is the inverse of...

College Algebra

James Harrington Boyd - 1901 - 777 σελίδες
...fractions. 688. Case I. When the factors of the denominator are of the first degree and all different, and the degree of the numerator is less than the degree of the denominator. Expand into partial fractions , , ~"" x "*" ' c , where a, b. c, (x — l)(x — HI) (x — n) /, m,...

An Algebra for High Schools and Academies

Louis Parker Jocelyn - 1902 - 445 σελίδες
...terminating, in the latter, non terminating. 240. A Proper Fraction in the literal notation is one in which the degree of the numerator is less than the degree of the denominator. ILLUSTRATIONS. 241. An Improper Fraction in the literal notation is a fraction in which the degree...

A Course in Mathematics, for Students of Engineering and Applied ..., Τόμος 2

Frederick Shenstone Woods - 1909
...6„, as was stated. Ex. 1. Separate into partial fractions ^—^- - —t -- (x + 3) (x* - 4) Since the degree of the numerator is less than the degree of the denominator, we assume x» + ll* + 14= A ___ S_,_0_ (x + 3) (x2 - 4) x - 2 x + 2 x + 3' ( ! where A, B, and C are constants....

A Text-book on Advanced Algebra and Trigonometry, with Tables

William Charles Brenke - 1910 - 343 σελίδες
...For reasons which will presently appear, the methods to be explained apply only to fractions in which the degree of the numerator is less than the degree of the denominator. When this is not the case, divide numerator by denominator until a remainder of less degree than the...

A Course in Mathematical Analysis, Τόμος 2,Μέρος 1

Edouard Goursat - 1916
...function, has a sense, provided that the denominator does not vanish for any real value of x and that the degree of the numerator is less than the degree of the denominator by at least two units. With the origin as center let us describe a circle C with a radius R large enough...

A Course in Mathematical Analysis, Τόμος 2,Τεύχος 1

Edouard Goursat - 1916
...function, has a sense, provided that the denominator does not vanish for any real value of x and that the degree of the numerator is less than the degree of the denominator by at least two units. With the origin as center let us describe a circle C with a radius R large enough...

A Course in Mathematical Analysis, Τόμος 2,Τεύχος 1

Edouard Goursat - 1916
...function, has a sense, provided that the denominator does not vanish for any real value of x and that the degree of the numerator is less than the degree of the denominator by at least two units. With the origin as center let us describe a circle C with a radius R large enough...

Advanced Algebra

William Charles Brenke - 1917 - 196 σελίδες
...For reasons which will presently appear, the methods to be explained apply only to fractions in which the degree of the numerator is less than the degree of the denominator. When this is not the case, divide numerator by denominator until a remainder of less degree than the...




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