 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 this product by the number of the term.  Algebra for Colleges and Schools - Page 166by Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 516 pagesFull view - About this book
 | Webster Wells - Algebra - 1906 - 550 pages
...of the first term is 1 ; of the second, 6. Multiplying 5, the coefficient of the second term, by 4, the exponent of a in that term, and dividing the result by the exponent of x increased by 1, or 2, we have 10 as the coefficient of the third term ; and so on. Then, (a + ж)6... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...of the first term is 1 ; of the second, 5. Multiplying 5, the coefficient of the second term, by 4, the exponent of a in that term, and dividing the result by the exponent of x increased by 1, or 2, we have 10 as the coefficient of the third term ; and so on. Then, (a + ж)6... | |
 | William James Milne - Algebra - 1908 - 480 pages
...first term is 1 ; the coefficient of the second term is the same as the index of the required power. 6. The coefficient of any term may be found by multiplying...term by the exponent of a in that term, and dividing this product by the number of the term. 1. All the terms are positive, if both terms of the binomial... | |
 | Webster Wells - Algebra - 1908 - 262 pages
...of the first term is 1 ; of the second, 5. Multiplying 5, the coefficient of the second term, by 4, the exponent of a in that term, and dividing the result by the exponent of x increased by 1, or 2, we have 10 as the coefficient of the third term; and so on. Then, (a + x)5=a*... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 216 pages
...binomial ; and the coefficient of any other term may be found by multiplying the coefficient of the next preceding term by the exponent of a in that term and dividing this product by a number one greater than the exponent of b in that term. 5. The coefficients of any... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 520 pages
...binomial ; and the coefficient of any other term may be found by multiplying the coefficient of the next preceding term by the exponent of a in that term and dividing this product by a number one greater than the exponent of 6 in that term. 5. The coefficients of any... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...coefficient of the first term is 1 ; of the second term, f . Multiplying f, the coefficient of the second term, by — }, the exponent of a in that term, and dividing the product by the exponent of x increased by 1, or 2, we have — $ as the coefficient of the third term... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...of the second term it is the index of the 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 Ь increased by 1. IV. Signs of Terms. If the binomial is a difference, the signs... | |
 | William James Milne - Algebra - 1911 - 332 pages
...first term is 1 ; the coefficient of the second term is the same as the index of the required power. 6. The coefficient of any term may be found by multiplying...term by the exponent of a in that term, and dividing this product by the number of the term. 7. All the terms are positive, if both terms of the binomial... | |
 | William James Milne - Algebra - 1911 - 378 pages
...term is 1 ; the coefficient of the second term is the same as the index of the required power. 6. Tlie coefficient of any term may be found by multiplying...term by the exponent of a in that term, and dividing this product by the number of the term. 1. All the terms are positive, if both terms of the binomial... | |
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