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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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Key to Ray's Algebra: Parts First and Second : Containing Statements and ...

Joseph Ray - 1852 - 343 σελίδες
...order to conform to the general method of proceeding from the left toward the right, it is customary to divide the first term of the dividend by the first term of thi. riivisor ; this, however, affects no principle, as the division may be com menced at the right...

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

Joseph Ray - 1848 - 240 σελίδες
...From the preceding, we derive the RULE, 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 dicisor by this term, and subtract...

Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...dividend and divisor, thus arranged, being placed as dividend and divisor, are placed in arithmetic, divide the first term of the dividend by the first term of the divisor ; the result is the first term of the quotient. 3. Then, as in arithmetic, multiply the whole divinar...

Elementary Algebra

Benedict Sestini - 1854 - 136 σελίδες
...dividend and the divisor are arranged according to the powers of any letter, the result of the division of the first term of the dividend by the first term of the divisor is the first term of the quotient. Let, for example, A = a3 -\- 2aa63 -f- ¿3 be the dividend, a3 and...

Common School Algebra

Thomas Sherwin - 1855 - 238 σελίδες
...before ; and thus continue, until all the termt 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,...

Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - 1855 - 336 σελίδες
...viz. 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...

A Treatise on Algebra

Elias Loomis - 1855 - 316 σελίδες
...DIVISION OF POLYNOMIALS. 1. Arrange the dividend and divisor according to the powen 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...

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

William Smyth - 1858 - 320 σελίδες
...viz. 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 the...

The University Algebra ...

John Fair Stoddard, William Downs Henkle - 1859 - 528 σελίδες
...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 term of the divisor ; the result will be the first term of the quotient, by which multiply all the terms in the divisor,...

New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1859 - 299 σελίδες
...dividend and divisor with reference to a (Art. 44), placing the divisor on the left 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, which, for convenience, we place under the divisor....




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