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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. "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 222
των Warren Colburn - 1844 - 276 σελίδες
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A University Algebra ...

Edward Olney - 1873 - 323 σελίδες
...expansion is unity ; of the second, the exponent of the required power ; and that of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. 100,...

New Elementary Algebra

Horatio Nelson Robinson - 1874 - 312 σελίδες
...coefficient of the leading quantity in the root. UNIVERSALLY; — The coefficient of any term may be obtained by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, or by the number of the term from the last, and by the coefficient of the following quantity...

Manual of Algebra

William Guy Peck - 1875 - 331 σελίδες
...COEFFICIENTS. — The coefficient of the first term is 1 ; the coefficient of any succeeding term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter in that term, and dividing the product by the number of terms preceding the required term. Let...

New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - 1875 - 318 σελίδες
...the leading quantity in the root. UNIVERSALLY : — The coefficient of any term may bе obtained Ъу multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, or by the number of the term from the last, and by the coefficient of the following qnantity...

The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - 1877 - 390 σελίδες
...expansion is unity ; of the second, the exponent of the required power; and tliat of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. SameU«<»*...

A University Algebra

Edward Olney - 1878
...expansion is unity ; of the second, the exponent of the required power ; and that of any other term may be found by multiplying the coefficient of the preceding term, by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. 190....

The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - 1878 - 439 σελίδες
...expansion is unity ; of the second, the exponent of the required power; and that of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. DEM.—...

New Elementary Algebra: Designed for the Use of High Schools and ..., Βιβλίο 1

Benjamin Greenleaf - 1879 - 336 σελίδες
...second term is the same as the exponent of the power ; and, in general, the coefficient of any term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place. NOTE 1. "When...

New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - 1879 - 309 σελίδες
...is the same as the exponent of the power ; and. in ifenerul, the coefficient of any term is found h/ multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place. NOTE 1. When...

The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - 1880 - 346 σελίδες
...power. IV. The coefficient of any term (after the first, whose coefficient is i) is the product of the coefficient of the preceding term by the exponent of the leading letter in that term, divided by the exponent of the following letter in the term itself. V. The number...




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