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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. "
New University Algebra: A Theoretical and Practical Treatise Containing Many ... - Page 41
by Horatio Nelson Robinson - 1868
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...compound numbers. .Arrange the dividend and divisor according to the powers of some letter. Divide the first term of the dividend by the first term of the divisor, and write the result in the quotient. Multiply all the terms oftlie divisor by the term of the quotient...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...Having arranged the divisor and dividend with reference to the powers of the same letter, 1°. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient ; 2°. multiply the whole divisor by the term of...
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A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...compound, arrange the terms of the dividend and divisor according to the powers of the same letter. Divide the first term of the dividend by the first term of the divisor to obtain the first term of the quotient, then multiply the whole divisor by this term, and subtract...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...figures of the quotient are obtained by trial, while in algebraic division the quotient obtained by dividing the first term of the dividend by the first term of the divisor, is always one of the terms of the quotient sought. If these two terms are not divisible by one another,...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1834 - 288 pages
...compound numbers. Arrange the dividend and divisor according to the powers of toms letter. Divide t/ie first term of the dividend by the first term of the divisor, and write the result in the quotient. Multiply all the terms of the divisor by the tern of the quotient...
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...3ic + 2cc ( J + 2 c. 1 bb+ be 2 6c + 2cc 2 6c + 2cc . In this example, as in the preceding, we divide the first term of the dividend by the first term of the divisor. The quotient of 6 6 divided by b, is b. We then multiply the whole divisor, b + c, by b, and obtain...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...arranged with reference to the powers of a. The first term of the quotient will therefore be found by dividing the first term of the dividend by the first term of the divieor. 2. As the dividend is the sum of all the partial products formed by multiplying the divisor...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...second dividend. The whole of the root found being doubled, gives 8a2 + 24aa; for a second divisor. Dividing the first term of the dividend by the first term of this divisor, gives Qx3 for a quotient, which is also added to the divisor, and the sum multiplied...
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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...both, so that its highest power may stand first, its next highest power second, and so on ; 3° divide the first term of the dividend by the first term of the divisor; the quantity found is the first term of the quotient; 4° multiply this term into the divisor, and,...
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The Elements of Algebra

Thomas Grainger Hall - 1840 - 266 pages
...dividend according to the powers of the same letter, beginning with the highest power in each. Divide the first term of the dividend by the first term of the divisor, and set down the quotient by itself: multiply every term of the divisor by this quotient, and subtract...
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