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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. "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 10
av John Bonnycastle - 1818 - 260 sider
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A Treatise on Algebra

Elias Loomis - 1846 - 346 sider
...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 - 1846 - 358 sider
...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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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1846 - 468 sider
...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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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 Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1847 - 332 sider
...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...proper sign, or simply by itself, if it be affirmative or positive. 3. Multiply the whole divisor by the term thus found ; and having subtracted the result...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1848 - 252 sider
...compound quantities, arrange the terms according to Art. 106. To obtain the first term in the quotient, divide the first term of the dividend by the first term of the divisor. Multiply the whole divisor by the term placed in the quotient ; subtract the • product from the dividend...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 sider
...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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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 sider
...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 - 1849 - 336 sider
...divisor according to the powers of some common letter, either ascending; or descending in both. 2. Divide the first term of the dividend by the first term of the divisor (§80), and set the result, with its proper sign, as a term of the quotient. '3. Multiply the divisor...
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