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" Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike... "
First Lessons in Algebra: Embracing the Elements of the Science - Page 155
by Charles Davies - 1839 - 252 pages
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Durell's School Algebra

Fletcher Durell - Algebra - 1914 - 606 pages
...in Arts. 60, 61, and 62, we have the following method for the division of one monomial by another: Divide the coefficient of the dividend by the coefficient of the divisor; Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter...
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A First Book in Algebra

Fletcher Durell, Elmer Ellsworth Arnold - Algebra - 1919 - 344 pages
...give minus. DIVISION IIY A SINGLE TERM 46. Rule. Hence in general to divide one term by another term, Divide the coefficient of the dividend by the coefficient of the divisor ; Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter...
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Elementary Algebra with a Table of Logarithms

Julius Lederer Neufeld - Algebra - 1920 - 412 pages
...e Hence the rule for division of radicals, // necessary, express the radicals with a common index. Divide the coefficient of the dividend by the coefficient of the divisor for the required coefficient. Divide the surd factor of the dividend by the surd factor of the divisor...
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The Manufacture of Pulp and Paper: A Textbook of Modern Pulp and ..., Volume 1

Papermaking - 1921 - 488 pages
...quotient is + ; if they have unlike signs, the sign of the quotient is — . To find the quotient, divide the coefficient of the dividend by the coefficient of the divisor, and the result will be the coefficient of the quotient; to this annex the literal quantities in both dividend...
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A Second Course in Algebra, Book 2

Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1924 - 490 pages
...be of the same order or reduced to the same order. (2) Indicate the division in fractional form. (3) Divide the coefficient of the dividend by the coefficient of the divisor and the radicand of the dividend by the radicand of the divisor, wherever possible, and write the quotient...
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New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - Algebra - 1891 - 312 pages
...For dividing one monomial by another, then, we deduce from the above example the following rule : — Divide the coefficient of the dividend by the coefficient of the divisor, for a new coefficient. After this coefficient write all the letters of the dividend, giving to each...
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Elements of Algebra: For Colleges, Schools, and Private Students

Joseph Ray - Algebra - 1875 - 424 pages
...also the parts under the radical for the radical part of the product. 2d Bk. 15* II. To Divide. — Divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient, and the radical part of the dividend by the radical part of the...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 260 pages
...] st. Find the quotient of the parts under the radical, and place it Umler the common radical. 2d. If the radicals have coefficients, divide the coefficient of the dividend by that of the divisor, and prefix the result to liie common radical. NOTE. — When a radical quantity...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...DEGREE. 1st. Find the quotient of the parts under the radical, and place it under the common radical. 2d. If the radicals have coefficients, divide the coefficient of the dividend by that of the divisor, and prefix the result to the common radical. NOTE. — When a radical quantity...
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