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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 Geometry - Page 44
by Adrien Marie Legendre - 1825 - 224 pages
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 294 pages
...the next highest exponent second, and so on to the last. To obtain the first term of the quotient, divide the first term of the dividend by the first term of the divisor, and place the quotient in the quotient, as its first term. Multiply every term of the divisor by the first...
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An Elementary Treatise on Algebra: Theoretical and Practical

Horatio Nelson Robinson - Algebra - 1846 - 262 pages
...truth of 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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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 503 pages
...polynomials. 1. Arrange the dividend and divisor according to the powers of the same letter ia both. 2. Divide the first term of the dividend by the first term of the divisor, and the result will be the first term in the quotient, by which multiply all the terms in the divisor,...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...OF POLYNOMIALS. 1. Arrange the dividend and divisor according to the powers 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...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 358 pages
...reference to the power of some letter, so that its exponents shall diminish from left to right. 2. Divide the first term of the dividend by the first term of the divisor ; the result is the first term of the quotient. 3. Multiply the-whole divisor by this term, and subtract...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...the power or index of a, we place them thus, a6d — a4c + a3b + a2 ; and then proceed by dividing the first term of the dividend by the first term of the divisor, placing the result in the quotient. We next multiply the whole divisor by the quotient thus found,...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - Mathematics - 1846 - 468 pages
...according to either ascending or descending powers of some letter common to the two; the division of the first term of the dividend by the first term of the divisor gives the first term of the quotient ; multiply the divisor by this term, and subtract the product...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 332 pages
...terms, as shall be necessary to continue the operation : To obtain the first term of the quotient, divide the first term of the dividend, by the first term of the divisor ;* Divide again by the first term of the divisor, and proceed as before, tUl all the terms of the dividend...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...terms of 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 or...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 240 pages
...they are found. From the preceding, we derive the BULB, FOR THE DIVISION OF ONE POLYNOMIAL BY ANOTHER. 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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