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" If the coefficient of any term be multiplied by the exponent of a in that term, and the... "
A Course in Algebra: Being Course One in Mathematics in the University of ... - Page 134
by Charles Ambrose Van Velzer, Charles Sumner Slichter - 1888 - 216 pages
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...term is the exponent of the power. The remaining coefficients may be found by the following RULE : If the coefficient of any term be multiplied by the exponent of the leading quantity in that 9 term, and the product be divided by the number whicti denotes its place...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...second term by the exponent of the leading letter, and dividing the product l«y 2. And finally — If the coefficient of any term be multiplied by the exponent of the leading letter, and the product divided by the number which marks the place of that term from the...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...the second term by the exponent of the leading letter, and dividing the product by 2. And finally — If the coefficient of any term be multiplied by the exponent of the leading letter, and the product divided by the number which marks the place of that term from the...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...; that of the second the same as the power to which the binomial is to be raised; and universally, if the coefficient of any term be multiplied by the exponent of the leading quantity in that term, and the product be divided by the exponent of the following quantity...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...continually increases by one. The coefficient of the first term is one ; that of the second is the index of the power ; and if the coefficient of any term be multiplied by the index of x in that term, and divided by the index of a increased by one, it will give the coefficient...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...continually increases by one. The coefficient of the first term is one ; that of the second is the index of the power ; and if the coefficient of any term be multiplied by the index of x in that term, and divided by the index of a increased by one, it will give the coefficient...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...1; that of the second the same as the power to which the binomial is to be raised; and universally, if the coefficient of any term be multiplied by the exponent of the leading quantity in that term, and the product be divided by the exponent of the following quantity...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 250 pages
...binomial. The law of the succeeding coefficients is not so readily seen ; it is, however, as follows : If the coefficient of any term be multiplied by the exponent of the leading letter, and the product be divided by the number of that term from the left, the quotient...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 300 pages
...the second term by the exponent of the leading letter, and dividing the product by 2. And finally — If the coefficient of any term be multiplied by the exponent of the leading letter, and the product divided by the number which marks the place of that term from tht...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...binomial. The law of the succeeding coefficients is not so readily seen ; it s, however, as follows : If the coefficient of any term be multiplied by the exponent of the 'fading letter, and the product be divided by the number of that term from the left, the quotient...
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