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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. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Σελίδα 233
των Jeremiah Day - 1831 - 332 σελίδες
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1846 - 276 σελίδες
...are both 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 term placed in the quotient ; subtract the QUEST. — What is the general rule for division ? product from the dividend ; and to the remainder,...

An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - 1846 - 276 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 - 380 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 - 542 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,...

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

Davis Wasgatt Clark - 1846 - 374 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...

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

Euclides - 1846 - 272 σελίδες
...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 - 500 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 - 358 σελίδες
...remainder bring down as many of the following terms, as shall be necessary to continue the operation : To obtain the first term of the quotient, divide the...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...

Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1848 - 264 σελίδες
...are both compound quantities, arrange the terms according to Art. 106. To obtain the first term in the quotient, divide the first term of the dividend...placed in the quotient ; subtract the • product from the dividend ; and to the remainder, bring down as many of the following terms as shall be necessary...

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

John Bonnycastle - 1848 - 334 σελίδες
...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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