| Charles Davies - Algebra - 1845 - 382 pages
...suppressed in the preceding example, it would be necessary to multiply the whole dividend by this factor, in order to render its first term divisible by the first term of the divisor ; but then, a factor would be introduced into tne dividend which is also contained in the divisor ;... | |
| Elias Loomis - Algebra - 1846 - 376 pages
...divisor, it follows from the above that we may multiply the dividend by any monomial factor which will render its first term divisible by the first term of the divisor. EXAMPLES. Ex. 1. Required tbe greatest common divisor of of + ж3 and x4 — 1. ж3 + ж, first Rem... | |
| Elias Loomis - Algebra - 1846 - 380 pages
...divisor, it follows from the above that we may multiply the dividend by any monomial factor which will render its first term divisible by the first term of the divisor. EXAMPLES. Ex. 1. Required the greatest common divisor of a^ + a;3 and xt — 1. a;5 + 07" x4— 1 5... | |
| Benjamin Peirce - Algebra - 1851 - 294 pages
...4th line of col. 2, and is used to divide the 1st line of col. 1. The 2d line of col. 1 is the 1st line multiplied by 7 in order to render its first term divisible by the first term of the new divisor ; the remainder of the division is the 4th line of col. 1, which is simplified in the 5th... | |
| Benjamin Peirce - Algebra - 1855 - 296 pages
...is the 4th line of col. 1, which is simplified in the 5th line by the suppression of the factor 3 a. The 6th line of col. 1 is the 5th line, multiplied...to be used until a remainder is obtained in which thejirst term ceases to be divisible by theftrst term of the divisor, that is, until the exponent of... | |
| Benjamin Peirce - Algebra - 1855 - 308 pages
...4th line of col. 2, and is used to divide the 1st line of col. 1. The 2d line of col. 1 is the 1st line multiplied by 7 in order to render its first term divisible by the first term of the new divisor ; the remainder of the division is the 4th line of col. 1, which is simplified in the 5th... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...first term of the arranged divisor, we may multiply the dividend by any monomial factor which will render its first term divisible by the first term of the divisor. This will not affect the greatest common divisor, because we introduce into the dividend a factor which... | |
| Charles Davies - Algebra - 1857 - 408 pages
...suppressed in the preceding example, it would be necessary to multiply the whole dividend by this factor, in order to render its first term divisible by the first term of the divisor ; but, then, a factor would be introduced into the dividend which is also contained in the divisor... | |
| Charles Davies - Algebra - 1860 - 412 pages
...suppressed in the preceding example, it would be necessary to multiply the whole dividend by this factor, in order to render its first term divisible by the first term of the divisor ; but, then, a factor would be introduced into the dividend which is also contained in the divisor... | |
| Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...llix'-f- 17x"-f6x— 9 and 4ж'— 18x'+19.ï— 3 ? We first multiply the greater polynomial by 2, to render its first term divisible by the first term of the other polynomial. FIRST OPERATION. 4x4— 24x>+34xa+12a;— 18 4x4— •ISx'+Wx'1— Зх 4a;'—... | |
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