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" In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term. "
Elements of Algebra: Including Strums' Theorem - Page 198
by M. Bourdon (Louis Pierre Marie) - 1847 - 368 pages
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 372 pages
...x is Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of...
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The Boston Journal of Philosophy and the Arts, Volume 2

John White Webster, John Ware, Daniel Treadwell - Science - 1825
...x is Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 276 pages
...+Tax"+x> Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of...
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Elements of algebra

William Smyth - Algebra - 1830 - 264 pages
...therefore the following rule, by which to form the coefficient of any term whatever, viz. Multiply the coefficient of the preceding term by the exponent of x in this term, and divide the product by the number, which marks the place of this term. From what has...
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A concise system of mathematics

Alexander Ingram - 1830
...first term is 1, that of the second is the name of the power, and in the following terms it is got by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing the product by the number of that term. 5. That when...
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Elements of Algebra

M. Bourdon (Louis Pierre Marie) - Algebra - 1831 - 304 pages
...whatever place is formed by means of the preceding coefficient. Ihe coefficient of a term of any place is formed by multiplying the coefficient of the preceding term by the exponent of x in this term, and dividing the product by the number of terms which precede that which is considered,...
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Elements of Algebra

William Smyth - Algebra - 1836 - 280 pages
...therefore the following rule, by which to form the coefficient of any term whatever, viz. Multiply the coefficient of the preceding term by the exponent of x in that term, and divide the product by the number, which marks the place of that term from the left. From what has been...
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Elements of Algebra

M. Bourdon (Louis Pierre Marie) - Algebra - 1839 - 355 pages
...development, a simple law will be perceived, by means of which the co-efficient of any term is formed from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-rfficient of the preceding term ly the exponent of x in that term, and dividing the product by the...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839
... 1 ), and dividing it by и ; therefore, generally. (484.) ' The coefficient of any term is found by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing by the number denoting the place of the latter term....
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