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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. "
Elements of Algebra - Page 26
by Bourdon (M., Louis Pierre Marie) - 1831 - 304 pages
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...each of them so that the higher powers of one of the letters may stand before the lower. 2. 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, or simply by itself, if it be affirmative...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...From the preceding, we derive the BULK, 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 divisor by this term, and subtract...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...1. Divide a3— 3a3J+3aJ2+J3 by a— b. 1 1—1 1—1 o —2+2 1-2+1 1 1—1 Supplying the letters, by dividing the first term of the dividend by the first term of the divisor, we have a2 — 2aJ 2. Divide a2— J2 by a"— b2. 1+0+0+0—1 1+0—1 " 0+i 1+0—1 1+0—1 1+0+1....
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An elementary course of practical mathematics, Part 2

James Elliot - 1850 - 116 pages
...divisor and the dividend according to the powers of some one letter contained in them : then divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply the whole divisor by the term thus found. Subtract the...
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A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - Algebra - 1850 - 358 pages
...the following rule will become obvious by its great similarity to division in numbers. RULE. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...following rule will become obvious by its great similarity to division in numbers. RULE . — Divide the first term of the dividend by the first term of the divisor, mid set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...reference to some common letter, we have the following rule for the division of polynomials : 1°. Divide the first term of the dividend by the first term of the divisor, and set the result, with its proper sign, as the first term of the quotient. 2°. Multiply the divisor...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - Algebra - 1851 - 288 pages
...each of them so, that the higher power of .one of the letters may stand before the lower. Then 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, or simply by itself, if it be affirmative....
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...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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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...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...
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