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" Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike... "
Ray's Algebra, Part Second: An Analytical Treatise, Designed for High ... - Side 23
av Joseph Ray - 1852 - 396 sider
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The Elements of Algebra

Elias Loomis - 1856 - 280 sider
...the exponent of the dividend. Hence, for the division of monomials, we have the following RULE. I. Divide the coefficient of the dividend by the coefficient of the divisor. 2' Subtract the exponent of each letter in the divisor from the exponent of the same letter in the...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1859 - 324 sider
...Radical quantities are divided like other algebraic quantities ; hence, we have the following RULR. L Divide the coefficient of the dividend by the coefficient of the divisor, for а neto coefficient : П. Divide the quantities under the radicals, in the same amter : Ш. Т...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - 1859 - 538 sider
...one radical by another. RULE. Reduce the radicals to equivalent ones expressing the same root, and divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient, and the radical part of the dividend by the radical part of the...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1860 - 412 sider
...similar manner upon any two monomials, we have for the division of monomials the following RULE. I. Divide the co-efficient of the dividend by the co-efficient of the divisor, for a new co-efficient. II. Write after this co-efficient, all the letters of the dividend and give...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1861 - 322 sider
...other, and place the common radical sign over the quotient. II. If Ilic radicals have co-efficients, divide the co-efficient of the dividend by the co-efficient of the divisor, and place the ^wtieut before the radical, found as above. Thus, * _» / — ; for the squares of these...
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Common School Algebra

Thomas Sherwin - 1862 - 252 sider
...ART. 418. From what precedes, we deduce the following RULE FOR DIVIDING ONE MONOMIAL BY ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2. Strike out from the dividend the letters common to it and the divisor, when they have the same exponents...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 sider
...2 í/a. Hence the following RULE. Reduce the radical parts, if necessary, to a common index ; then divide the coefficient of the dividend by the coefficient of the divisor, and the radical part of the dividend by that of the divisor, and prefix the first quotient to the last...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 432 sider
...За »с г Hence the following RULE. I. If necessary, reduce the radicals to a common index. II. Divide the coefficient of the dividend by the coefficient of the divisor ; divide also the quantity in tJie radical part of the dividend by the quantify in the radical part...
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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1864 - 420 sider
...c V aHence the RULE. Reduce the radical parts, if necessary, to those having a common index ; then divide the coefficient of the dividend by the coefficient of the divisor, and the radical part of the dividend by that of the divisor, and prefix the first quotient to the last,...
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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - 1866 - 250 sider
...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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