... 3. The sum of the exponents in each term is equal to the exponent of the binomial. 4. The coefficient of the first term is unity; of the second term, the same as the exponent of the binomial ; and the coefficient of any other term may be found by... High School Algebra: Advanced Course - Page 189by Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 194 pagesFull view - About this book
| Ellen Hayes - Algebra - 1897 - 244 pages
...b; 8. the coefficient of any particular term may be obtained by multiplying the coefficient of the **preceding term by the exponent of a in that term and dividing** it by the number which is one unit greater than the exponent of b in that term. For example, the expression... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...of the binomial. (6) The coefficient of any term may be found by multiplying the coefficient of the **preceding term by the exponent of a in that term, and dividing** the result by the exponent of b plus 1. Ex. 1. Expand (a + b)«. (a + 6)« = a6 -f a6 + a1 + a8 + a2... | |
| Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...required power. 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 exponent of b increased by 1. IV. Signs of Terms. If the binomial is a difference, the signs... | |
| George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...(v.) The coefficient of any term after the second is obtained by multiplying the coefficient of the **preceding term by the exponent of a in that term, and dividing** the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of the... | |
| George Egbert Fisher - Algebra - 1900 - 444 pages
...coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the **preceding term by the exponent of a in that term, and dividing** the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of the... | |
| Wooster Woodruff Beman, David Eugene Smith - Algebra (Elements) - 1900 - 460 pages
...coefficient is 1, ¿Ae second is n, aгаa7 arc?/ other is formed by multiplying the coefficient of the **preceding term by the exponent of a in that term and dividing** by 1 inore than the exponent of b. The proof of this theorem, which has already been found inductively... | |
| George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the **preceding term by the exponent of a in that term, and dividing** the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of Üießßft... | |
| George Egbert Fisher - 1901 - 622 pages
...coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the **preceding term by the exponent of a in that term, and dividing** the product by a number greater by 1 than the exponent of b in that term. Eg, the coefficient of the... | |
| George Egbert Fisher, Isaac Joachim Schwatt - 1902 - 504 pages
...coefficient of any term after the second is obtained, except for sign, by multiplying the coefficient of the **preceding term by the exponent of a in that term, and dividing** the product by a number greater by 1 than the exponent of Ь in that term. Eg, the coefficient of thefiflh... | |
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