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" Then divide the first term of the remainder by the first term of the divisor... "
The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ... - Pàgina 33
1836 - 472 pàgines
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An Elementary Treatise on Algebra: Theoretical and Practical

James Thomson - 1845 - 328 pàgines
...root of the first term will be the first term of the required root. Take the nth power of this term from the given quantity, and divide the first term of the remainder by n times the term already found, raised to the power n — 1 ; the quotient will be the next term of...
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A Treatise on Algebra

Elias Loomis - 1846 - 376 pàgines
...THE SQUARE ROOT OF A POLYNOMIAL. Arrange the polynomial according to the powers of some one letter ; take the root of the first term for the first term of the required root, and subtract its square from the given quantity. Divide the first term of the remainder by double the...
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A Treatise on Algebra

Elias Loomis - 1846 - 380 pàgines
...THE SQUARE ROOT OF A POLYNOMIAL. Arrange the. polynomial according to the powers of some one letter ; take the root of the first term for the first term of the required root, and subtract its square from the given quantity. Divide the first term of the remainder by double the...
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An Elementary Treatise on Algebra: In which the Principles of the Science ...

Samuel Alsop - 1846 - 300 pàgines
...thus determined, and subtract 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) a3 — 2 ax...
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Elements of Algebra: Including Strums' Theorem

1847 - 408 pàgines
...the quotient; muliply 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, for the second term of the quotient; multiply the divisor by this second term, and subtract...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1848 - 264 pàgines
...of one of the letters, so that the highest power shall stand first, the next highest next, Sfc. II. Take the root of the first 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...
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The Elements of Algebra: Designed for the Use of Common Schools, Also ...

George Roberts Perkins - 1848 - 234 pàgines
...following RULE. I After arranging the polynomial according to the powers of some one of the letters, take the root of the first term for the first term of the required root, and subtract its square from the polynomial. II. Bring dawn the next two terms for a dividend. Divide...
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A Theoretical and Practical Treatise on Algebra ...

Horatio Nelson Robinson - 1848 - 354 pàgines
...next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before: proceed in this manner till the whole root is determined. EXAMPLES. 1. What...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - 1848 - 252 pàgines
...term of the quotient. Multiply the divisor by this term, and subtract the product from the dividend. Divide the first term of the remainder by the first term of the divisor, the result will be the second term of the quotient. Multiply the divisor by this term, and...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848 - 302 pàgines
...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, and...
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