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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 - Pàgina 43
per Elias Loomis - 1846 - 346 pàgines
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - 1851 - 288 pàgines
...terms of 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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Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 272 pàgines
...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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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 250 pàgines
...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...the result will be the first term of the quotient. Multiply the dicisor by this term, and subtract the product from the dividend Divide the first term...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 348 pàgines
...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 - 1852 - 366 pàgines
...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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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 408 pàgines
...divisor by this term, and subtract the product from the dividend. Divide the first term of the remainder by the first term of the divisor; the result will be the second term of the quotient. Multiply the divisor by this term, and subtract the product from the last...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 pàgines
...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 by tho part...
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Elementary Algebra

Benedict J. Sestini - 1854 - 156 pàgines
...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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Common School Algebra

Thomas Sherwin - 1855 - 262 pàgines
...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...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - 1855 - 370 pàgines
...just found, and subtract the result from the dividend ; 3". divide the first term of the remainder by the first term of the divisor, the result will be the second term of the quotient ; 4°. multiply the whole divisor by the second term of the quotient, and...
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