| Ormsby MacKnight Mitchel - 1845 - 308 σελίδες
...the next highest exponent second, and so on to the last. To obtain the first term of the quotient, divide the first term of the dividend by the first term of the divisor, and place the quotient in the quotient, as its first term. Multiply every term of the divisor by the first... | |
| Charles William Hackley - 1846 - 542 σελίδες
...polynomials. 1. Arrange the dividend and divisor according to the powers of the same letter ia both. 2. Divide the first term of the dividend by the first term of the divisor, and the result will be the first term in the quotient, by which multiply all the terms in the divisor,... | |
| Horatio Nelson Robinson - 1846 - 276 σελίδες
...truth of the following rule will become obvious by its great similarity to division in numbers. RULE. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract... | |
| Davis Wasgatt Clark - 1846 - 374 σελίδες
...reference to the power of some letter, so that its exponents shall diminish from left to right. 2. Divide the first term of the dividend by the first term of the divisor ; the result is the first term of the quotient. 3. Multiply the-whole divisor by this term, and subtract... | |
| Elias Loomis - 1846 - 380 σελίδες
...OF POLYNOMIALS. 1. Arrange the dividend and divisor according to the powers of the same letter. 2. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient. 3. Multiply the divisor by this term, and subtract... | |
| Euclides - 1846 - 272 σελίδες
...the power or index of a, we place them thus, a6d — a4c + a3b + a2 ; and then proceed by dividing the first term of the dividend by the first term of the divisor, placing the result in the quotient. We next multiply the whole divisor by the quotient thus found,... | |
| Harvey Goodwin - 1846 - 500 σελίδες
...according to either ascending or descending powers of some letter common to the two; the division of the first term of the dividend by the first term of the divisor gives the first term of the quotient ; multiply the divisor by this term, and subtract the product... | |
| Jeremiah Day - 1847 - 358 σελίδες
...terms, as shall be necessary to continue the operation : To obtain the first term of the quotient, divide the first term of the dividend, by the first term of the divisor ;* Divide again by the first term of the divisor, and proceed as before, tUl all the terms of the dividend... | |
| John Bonnycastle - 1848 - 334 σελίδες
...terms of each of them so that the higher powers of one of the letters may stand before the lower. 2. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient, with its proper sign, or simply by itself, if it be affirmative or... | |
| Joseph Ray - 1848 - 250 σελίδες
...they are found. From the preceding, we derive the BULB, FOR THE DIVISION OF ONE POLYNOMIAL BY ANOTHER. Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient. Multiply the divisor by this term, and subtract... | |
| |