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" Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend. "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 190
edited by - 1854
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...From the preceding, we derive the RULE, FOR THE DIVISION OF ONE POLYNOMIAL BY ANOTHER. Divide tlie first term of the dividend by the first term of the divisor, the result will be the first term of the quotient. Multiply the dicisor by this term, and subtract the product...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...terms of each quantity, so that the highest powers of one of the letters may stand before the lower. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient with its proper sign. Multiply the whole divisor by the terms thus...
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Key to Ray's Algebra: Parts First and Second : Containing Statements and ...

Joseph Ray - Algebra - 1852 - 366 pages
...order to conform to the general method of proceeding from the left toward the right, it is customary to divide the first term of the dividend by the first term of thi. riivisor ; this, however, affects no principle, as the division may be com menced at the right...
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Elementary Algebra

Benedict J. Sestini - Algebra - 1854 - 156 pages
...dividend and the divisor are arranged according to the powers of any letter, the result of the division of the first term of the dividend by the first term of the divisor is the first term of the quotient. Let, for example, A = a3 -\- 2aa63 -f- ¿3 be the dividend, a3 and...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...viz. Having arranged the divisor and dividend with reference to the powers of the same letter, 1°. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient ; 2°. multiply the whole divisor by the term of the quotient...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...DIVISION OF POLYNOMIALS. 1. Arrange the dividend and divisor according to the powen of the same letter 2. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient. 3. Multiply the divisor by this term, and subtract the product...
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Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...before ; and thus continue, until all the termt of the root are found. Remark 2. In dividing, we merely divide the first term of the dividend by the first term of the divisor ; and it is manifest, from the manner in which the divisors are obtained, as well as from inspection,...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...viz. Having arranged the divisor and dividend with reference to the powers of the same letter, 1°. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient; 2°. multiply the whole divisor by the term of the quotient...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...dividend and divisor according to the ascending or descending powers of the same letter in both. 2. Divide the first term of the dividend by the first term of the divisor ; the result will be the first term of the quotient, by which multiply all the terms in the divisor, and subtract...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...following RULE. I. Аггапуе the dividend and divisor with reference to the кате letter : П. Divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply t/ie divisor by this term of the quotient, and subtract...
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