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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 Elementary Treatise on Algebra, Theoretical and Practical ... - Σελίδα 57
των James Ryan, Robert Adrain - 1824 - 516 σελίδες
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1848 - 252 σελίδες
...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...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 σελίδες
...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...

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 336 σελίδες
...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...

An elementary course of practical mathematics, Μέρος 2

James Elliot - 1850
...Arrange both the divisor and the dividend according to the powers of some one letter contained in them : then divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply the whole divisor by the term thus found. Subtract the...

A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - 1850 - 328 σελίδες
...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...

An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - 1850 - 240 σελίδες
...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, mid set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract...

BONNYCASTLE'S INTRODUCTION TO ALGEBRA; CONTAINING THE INDETERMINATE AND ...

JAMES RYAN - 1851
...terms of each of them so, that the higher power of .one of the letters may stand before the lower. Then 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....

Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 236 σελίδες
...reference to some common letter, we have the following rule for the division of polynomials : 1°. Divide the first term of the dividend by the first term of the divisor, and set the result, with its proper sign, as the first term of the quotient. 2°. Multiply the divisor...

A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 336 σελίδες
...terms of each quantity, so that the highest powers of one of the letters may stand before the lower. 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. Multiply the whole divisor by the terms thus...

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

Joseph Ray - 1852 - 396 σελίδες
...and 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 by this term, and subtract...




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