| Robert Fowler - 1861
...both the divisor and dividend according to the powers of the same letter (a in the example) ; then to **divide the first term of the dividend by the first term of the divisor,** place the result in the quotient and multiply the divisor by it ; subtract and proceed similarly with... | |
| Thomas Sherwin - 1862
...before; and thus continue, until all the terms of the root are found. \ Remark 2. In dividing, we merely **divide the first term of the dividend by the first term of the divisor; and** it is manifest, from the manner in which the divisors are obtained, as well as from inspection, that... | |
| Isaac Todhunter - 1863 - 16 sider
...ascending powers of some common letter, or both according to descending powers of some common letter. **Divide the first term of the dividend by the first term of the divisor, and** put the result for the first term of the quotient; multiply the whole divisor by this term and subtract... | |
| Horatio Nelson Robinson - 1863 - 420 sider
...quotient similarly arranged. We can therefore obtain this term of the quotient, by simply dividing **the first term of the dividend by the first term of the divisor,** thus arranged. The operation may then be continued in the manner of long division in Arithmetic ; each... | |
| Benjamin Greenleaf - 1863 - 324 sider
...terms, 3а? с -\-6abc -f- 3 V с -{- 3 a c1.-f- 3 6 c1 -f- c", for a remainder or dividend. Dividing **the first term of the dividend by the first term of the** trial divisor, 3а1, we obtain c, the third term of the root. Adding together three times the square... | |
| Benjamin Greenleaf - 1864 - 394 sider
...Hence, the RULE. Arrange loth dividend and divisor according to the decreasing powers of some letter. **Divide the first term of the dividend by the first term of the divisor, and** write the result for the first term of the quotient. Multiply the whole divisor by this term, and subtract... | |
| Elias Loomis - 1864 - 359 sider
...divisor. (74.) From this investigation we deduce the following BULK FOR THE DIVISION OF POLYNOMIALS. 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... | |
| Horatio Nelson Robinson - 1864 - 420 sider
...quotient similarly arranged. We can therefore obtain this term of the quotient, by simply dividing **the first term of the dividend by the first term of the divisor,** thus arranged. The operation may then be continued in the manner of long division in Arithmetic; each... | |
| Joseph Ray - 1866 - 240 sider
...divisor with reference to the leading letter, and place the divisor on the right of the dividend. 2. **Divide the first term of the dividend by the first term of the divisor,** for the first term of the quotient. Multiply the divisor by this term, and subtract the product from... | |
| Joseph Ray - 1866 - 406 sider
...ONE POLYNOMIAL BY ANOTHER. 1. Arrange the dividend and Divisor with reference to a certain letter. 2. **Divide the first term of the dividend by the first term of the divisor,** for the first term of the quotient. Multiply the divisor by this term, and subtract the product from... | |
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