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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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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845
...division in arithmetic, arranging both 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, and put the result with its proper sign for the first term of the quotient. Multiply the terms of the...

Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 σελίδες
...reference to the power of some letter, so that its exponents shall diminish from left to right. 2. Divide the first term of the dividend by the first term of the divisor ; the result is the first term of the quotient. 3. Multiply the-whole divisor by this term, and subtract...

An Elementary Treatise on Algebra: Theoretical and Practical

Horatio Nelson Robinson - 1846 - 262 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...

A Treatise on Algebra

Elias Loomis - 1846 - 346 σελίδες
...OF POLYNOMIALS. 1. Arrange the dividend and divisor according to the powers 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: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1846 - 503 σελίδες
...polynomials. 1. Arrange the dividend and divisor according to the powers of the same letter ia both. 2. Divide the first term of the dividend by the first term of the divisor, and the result will be the first term in the quotient, by which multiply all the terms in the divisor,...

Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...the power or index of a, we place them thus, a6d — a4c + a3b + a2 ; and then proceed by dividing the first term of the dividend by the first term of the divisor, placing the result in the quotient. We next multiply the whole divisor by the quotient thus found,...

An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1846 - 468 σελίδες
...according to either ascending or descending powers of some letter common to the two; the division of the first term of the dividend by the first term of the divisor gives the first term of the quotient ; multiply the divisor by this term, and subtract the product...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1847 - 332 σελίδες
...terms, as shall be necessary to continue the operation : To obtain the first term of the quotient, divide the first term of the dividend, by the first term of the divisor ;* Divide again by the first term of the divisor, and proceed as before, tUl all the terms of the dividend...

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

Joseph Ray - 1848 - 240 σελίδες
...they are found. From the preceding, we derive the BULB, FOR THE DIVISION OF ONE POLYNOMIAL BY ANOTHER. 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...

The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...terms of each of them so that the higher powers of one of the letters may stand before the lower. 2. 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...




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