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" Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Page 81
by Warren Colburn - 1826 - 276 pages
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 422 pages
...product, and also the parts under the radical for the radical part of the product. III. To DIVIDE. — Divide the coefficient of the dividend, by the coefficient of the divisor for the coefficient of the quotient, an4 the radical part of the dividend by the radical part of the...
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New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...— ' divided by v/i^=v/y; the entire quotient, therefore, is 3аv/jí. Hence the following RULE. I. Divide the coefficient of the dividend by the coefficient of the divisor. II. Divide the quantity in the radical part of the dividend try the quantity in the radical part of...
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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 250 pages
...since^/Bx 3/15=6/45; therefore, 6/45 -^-2/3=3/T5. Hence, TO DIVIDE RADICALS OF THE SECOND DEGREE, Rale. — Divide the coefficient of the dividend by the coefficient of the divisor for a new coefficient, and the radical of the dividend by the radical of the divisor for a new"1 radical....
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Elements of algebra

Robert Wallace - 1870 - 164 pages
...subtracted from that of the product (the dividend) to obtain the index of the other factor (the quotient). RULE. — Divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient. Annex to this coefficient all the letters that are contained in...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1871 - 404 pages
...principle of Art. 104, qr v r> hence Hence, to divide one radical of the second degree by another, we have the following RULE. Divide the co-efficient of the dividend by the co-efficient of the divisor for a new co-efficient ; after this, write the radical sign^ placing under it the quotient obtained...
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Elements of Algebra

James Haddon - Algebra - 1871 - 244 pages
...йж; з Hence, the Eule for Division will be ; if the signs are alike, write + ; if unlike, — ; divide the coefficient of the dividend by the coefficient of the divisor ; and subtract each index of the divisor from the index of the same letter in the dividend. Examples 1. Divide...
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - Algebra - 1866 - 420 pages
...product shall be 6 ; therefore, to obtain it, we divide G by 2. Hence, the Eule of the Coefficients. — Divide the coefficient of the dividend by the coefficient of the divisor. 2d. The exponent of a in the quotient must be such a number, that when 2, the exponent of a in the...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...for Division of Radicals. — Reduce the radical parts, if necessary, to those of the same degree, divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient, and divide the radical of the dividend by the radical of the divisor...
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...vx=\ / — = vu , __ J у я the entire quotient, therefore, is 3av/y. Hence the following RULE. I. Divide the coefficient of the dividend by the coefficient of the divisor. II. Divide the quantity in the radical part of the dividend by the quantity in the radical part of...
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New University Algebra

Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...principles already given we have the following RULE. — To divide one monomial by another ; — I. Divide the coefficient of the dividend by the coefficient of the divisor, for a new coefficient. II. To this result annex the letters of the dividend, with the exponent of each...
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