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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.
Elementary Algebra - Page 106
by George William Myers, George Edward Atwood - 1916 - 338 pages

New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...remaining 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...

Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1863 - 298 pages
...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...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...term of the quotient similarly arranged. We can therefore obtain this term of the quotient, by simply dividing the first term of the dividend by the first term of the divisor, thus arranged. The operation may then be continued in the manner of long division in Arithmetic; each...

New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...the RULE. Arrange loth dividend and divisor according to the decreasing powers of some letter. Divide the first term of the dividend by the first term of the divisor, and write the result for the first term of the quotient. Multiply the whole divisor by this term, and...

A Treatise on Algebra

Elias Loomis - Algebra - 1864 - 386 pages
...(74.) From this investigation we deduce the following BULK FOR THE DIVISION OF POLYNOMIALS. 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...

Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 420 pages
...divisor with reference to a certain letter, and place the divisor on the right of the dividend. 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 ty this term, and subtract...

Ray's Algebra, First Book: Primary Elements of Algebra, for Common Schools ...

Joseph Ray - Algebra - 1866 - 252 pages
...with reference to the leading letter, and place the divisor on the right of the dividend. 2. Divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply the divisor by this term, and subtract the product from...

Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 252 pages
...with reference to the leading letter, and place the divisor on the right of the dividend. 2. Divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply the divisor by this term, and subtract the product from...