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" ... the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor... "
First Year Algebra - Page 246
by Webster Wells, Walter Wilson Hart - 1912 - 327 pages
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...term, for the first term of the required root. III. Subtract the power from the given quantity, and divide the first term of the remainder by the first term of the root inrolved io the next inferior power and multiplied by the index of the given power ;* the...
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A Treatise on Algebra: In which the Principles of the Science are Familiarly ...

Samuel Alsop - Algebra - 1848 - 336 pages
...thus determined, and mblract the product from the dividend, arranging the terms as above directed. Divide the first term of the remainder by the first term of the divisor, and so proceed until the operation is accomplished. EXAMPLES. Ex. 1. a — x) a? — 2...
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The Elements of Algebra: Designed for the Use of Common Schools, Also ...

George Roberts Perkins - Algebra - 1848 - 234 pages
...of the root sought. II. Subtract the power of this first term of the root from the polynomial, and divide the first term of the remainder, by the first term of the root involved to the next inferior power, and multiplied by the number denoting the root ; the...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 302 pages
...quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor, which gives the second term of the quotient ; multiply the divisor by the second term,...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...from the given polynomial. 3. Double the part of the root already found, for a partial divisor ; and divide the first term of the remainder by the first term of the doubled root; setting the quotient, with its proper sign, as a term both of the root and of the...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...Multiply the divisor by this first term of the quotient and subtract the product from the dividend. 3°. Divide the first term of the remainder by the first term of the divisor, place the result in the quotient with its proper sign, multiply and subtract as before,...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...product from the remainder. 3rd. Double the terms of the root already found for a partial divisor] then divide the first term of the remainder by the first term of the divisor, and annex the result to both the root and the partial divisor. Multiply the divisor thus...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...product f mm the remainder. 3d. Double the terms of the root already found, for a partial divisor, and divide the first term of the remainder, by the first term of the divisor, and annex the result both to the root and the partial divisor. Multiply the divisor thus...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...whole divisor by the term of the quotient just found, and subtract the result from the dividend ; 3". divide the first term of the remainder by the first term of the divisor, the result will be the second term of the quotient ; 4°. multiply the whole divisor by...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...of polynomials. 3. Multiply the divisor by this term, and subtract the product from the dividend. 4. Divide the first term of the remainder by the first term of the divisor ; the result will be the second term of the quotient. 5. Multiply the divisor by this term,...
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