 Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.  Secondary Algebra - Page 227by George Egbert Fisher - 1900 - 397 pagesFull view - About this book
 | Frederick Emerson - Arithmetic - 1834 - 300 pages
...remainder may be expressed by two factors; thus, (10X10X3 + 10X3X5 + 5X5) 5: therefore, if we divide by three times the square of the first term of the root, plus three times the first term multiplied by the second term, plus the square of the second term,... | |
 | Frederick Emerson - Arithmetic - 1839 - 300 pages
...remainder may be expressed by two factors; thus, (10X10X3 + 10X3X5- 1-5x1) 5: therefore, if we divide by three times the square of the first term of the root, plus three times the first term multiplied by the second term, plus the square of the second term,... | |
 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...product from the remainder, and bring down the next remainder. Divide the first term of this remainder by three times the square of the first term of the root, and the quotient will be the third term of the root sought. Ml other terms may be found in like manner.... | |
 | John Bonnycastle - 1848 - 334 pages
...; divide the first term of the remainder by twice the first term of the root, for the square root ; by three times the square of the first term of the root, for the cube root, and so on, and the quotient will be the next term of the root. Involve the binomial... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...the first term of the root, and subtract its cube. 3. Divide the first term of the arranged remainder by three times the square of the first term of the root. 4. Add to three times the square of the part of the root previously found, three times the product... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...found, and subtract the result from the given polynomial, and divide the first term of the remainder by three times the square of the ( first term of the root ; the quotient will be i the third term of the root ; cube the part of the root already found, and... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...root; hence, we shall obtain the second term of the root by dividing the first term of the remainder by three times the square of the first term of the root. Also, by the same principle, if we subtract from the proposed polynomial the cube of the sum of the... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...Thus, Va' = a. 2d. The second term of the root may be found by dividing the second term of the power by three times the square of the first term of the root. Thus, За'6-ьЗа* = 6. 3d. The last three terms of the power may be factored, and written as follows... | |
 | Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...power ; and to find the second term of the root, we must divide the second term of the power, 3a26, by three times the square of the first term of the root, 3a2 ; thus, 3а26 -=- 3а2 = 6. The last three terms of the power may be factored ая follows : (3as... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...power ; and to find the second term of the root, we must divide the second term of the power, 3a26, by three times the square of the first term of the root, Зa2 ; thus, За26 -=- Зa2 = b. The last three terms of the power may be factored as follows : (Зa2... | |
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