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" The coefficient of the first term is unity; the coefficient of the second term is the sum of the second terms of the binomial factors ; the coefficient of the third term is the sum of the... "
A Course in Algebra: Being Course One in Mathematics in the University of ... - Page 130
by Charles Ambrose Van Velzer, Charles Sumner Slichter - 1888 - 216 pages
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A Treatise on Algebra

George Peacock - Algebra - 1830 - 732 pages
...inferior powers of x would appear in the following terms: the coefficient of the second term would be the sum of the second terms of the binomial factors ; the coefficient of the third term would be the sum of their products two and two; the coefficient of the fourth term the sum of their...
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A Treatise on Algebra: Arithmetical algebra

George Peacock - Algebra - 1842 - 426 pages
...powers of x, and in which the coefficient of the second term is the sum of the second terms of the four binomial factors, the coefficient of the third term is the sum of all their products two and two, the coefficient of the fourth term is the sum of all their products three and...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...for four binomial factors, is as follows : The coeficient of the 1st term is unity. That of the Ind term is the sum of the second terms of the binomial factors employed. That of the 3rd term is the sum of the products of the second terms of the binomials, two...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...each of these products the coefficient of x in the first term is unity ; the coefficient of the second term is the sum of the second terms of the binomial...coefficient of the third term is the sum of all their products two and two ; the coefficient of the fourth term is the sum of all their products three and...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...each of these products the coefficient of x in the first term is unity ; the coefficient of the second term is the sum of the second terms of the binomial...the coefficient of the third term is the sum of all tlteir products two and two ; the coefficient of the fourth term is the sum of all their products three...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...each of these products the coefficient of x in the first term is unity ; the coefficient of the second term is the sum of the second terms of the binomial...coefficient of the third term is the sum of all their products taken two ana two ; the coefficient of the fourth term is the sum of all their products taken...
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...preceding term by unity. III. The coefficient of the first term is unity ; the coefficient of the second term is the sum of the second terms of the binomial...factors; the coefficient of the third term is the sum of the products of the second terms of the binomial factors taken two at a time; the coefficient of the...
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A Treatise on Algebra

Elias Loomis - Algebra - 1864 - 386 pages
...each of these products the coefficient of x in the first term is unity; the coefficient of the second term is the sum of the second terms of the binomial...coefficient of the third term is the sum of all their products taken two ana two; the coefficient of the fourth term is the sum of all their products taken...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 pages
...preceding term by unity. • III. The coefficient of the first term is unity; the coefficient of the second term is the sum of the second terms of the binomial...; the coefficient of the third term is the sum of the products of the second terms of the binomial factors taken two at a time; the coefficient of the...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...continually decreases by one. The coefficient of iht first term is unity ; the coefficient of the second term is the sum of. the second terms of the binomial...factors; the coefficient of the third term is the sum of alt their products taken two and two, and so on. Tlie last term is the product of the second terms...
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