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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: For the Use of Schools and Colleges - Page 38
by William Smyth - 1858 - 320 pages
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...by this term, and subtract the product from the dividend. 4. Divide the first term of the remainder by the first term of the divisor ; the result will be the second term of the quotient. 5. Multiply the divisor by this term, and subtract the product from the...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...dividend and divisor according to the ascending or descending powers of the same letter in both. 2. Divide the first term of the dividend by the first...the result will be the first term of the quotient, by which multiply all the terms in the divisor, and subtract the product from the dividend. 3. Then...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...following RULE. I. Аггапуе the dividend and divisor with reference to the кате letter : П. Divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply t/ie divisor by this term of the quotient, and subtract...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 348 pages
...hand of the dividend, as in simple numbers. II. Find the first term of the quotient either by dividing the first term of the dividend by the first term of the divisor, or by dividing the first two terms of the dividend by the first two terms of the divisor ; multiply...
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The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...hand of the dividend, as in simple, numbers II. Find the first term of the quotient either by dividing the first term of the dividend by the first term of the divisor, or by dividing the first two terms of the dividend by the first two terms of the divisor ; multiply...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 pages
...both the divisor and dividend according to the powers of the same letter (a in the example) ; then to divide the first term of the dividend by the first term of the divisor, place the result in the quotient and multiply the divisor by it ; subtract and proceed similarly with...
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Common School Algebra

Thomas Sherwin - 1862 - 252 pages
...before; and thus continue, until all the terms of the root are found. \ Remark 2. In dividing, we merely divide the first term of the dividend by the first term of the divisor; and it is manifest, from the manner in which the divisors are obtained, as well as from inspection,...
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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1863 - 302 pages
...ascending powers of some common letter, or both according to descending powers of some common letter. Divide the first term of the dividend by the first term of the divisor, and put the result for the first term of the quotient; multiply the whole divisor by this term and...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...I. Arrange loth dividend and divisor according to the descending powers of one of the letters. II. Divide the first term of the. dividend by the first term of the divisor, and write the result in the quotient. III. Multiply the whole divisor by the quotient thus found, andsubtract...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...terms, 3а? с -\-6abc -f- 3 V с -{- 3 a c1.-f- 3 6 c1 -f- c", for a remainder or dividend. Dividing the first term of the dividend by the first term of the trial divisor, 3а1, we obtain c, the third term of the root. Adding together three times the square...
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