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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.
A Treatise on Algebra - Page 46
by Elias Loomis - 1873 - 360 pages

Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...and divisor with reference to a certain letter, and place the divisor on the right of the dividend. Divide the first term of the dividend by the first term of the divisor ; the result will be the first term of the quotient. Multiply the divisor by this term, and subtract...

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...

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...

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...

Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...dividend and divisor, thus arranged, being placed as dividend and divisor, are placed in arithmetic, divide the first term of the dividend by the first term of the divisor ; the result is the first term of the quotient. 3. Then, as in arithmetic, multiply the whole divinar...

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...

A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...following RULE FOR THE 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...

Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...Arrange the dividend and divisor according to the powers of the same letter, beginning with the highest. 2. Divide the first term of the dividend by the first term of the divisor, and place the result as the first term of the quotient ; recollecting, that if both terms have the...