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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: Tr. from the French of M. Bourdon, for the Use of the ... - Page 133
by Bourdon (M., Louis Pierre Marie) - 1831 - 389 pages

## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 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...

## Boston Journal of Philosophy and the Arts: Intended to Exhibit a ..., Volume 2

Science - 1825 - 630 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...

## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 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...

## Elements of Algebra

William Smyth - Algebra - 1830 - 278 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...

## A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...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...

## Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 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,...

## Library of Useful Knowledge: On the study and difficulties of mathematics ...

Mathematics - 1836 - 530 pages
...shies, so that the coefficient of x*-' a' is the same as that of xr aC-'. See art [264]. Fourthly, that the coefficient of any term is formed by multiplying...term by the exponent of x in that term, and dividing by the number of terms preceding the one in question. This rule is of much practical utility, as it...

## Elements of Algebra

William Smyth - Algebra - 1836 - 288 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...