 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.  Intermediate Algebra - Page 127by Herbert Ellsworth Slaught, Nels Johann Lennes - 1916 - 256 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,... | |
 | Algebra - 1838 - 372 pages
...terms of R,form the cube of the binomial and subtract it from N ; after which, divide the first term of the remainder by three times the 'square of the first term of R : the quotient will be the third term of R. IV. Cube the three terms of the root found, and subtract... | |
 | 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
...subtract the 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.... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...of R, form the cube of this binomial and subtract it from N ; after which, divide the first term of the remainder by three times the square of the first term of R : the quotient will be the third term of R. IV. Cube the three terms of the root found, and subtract... | |
 | 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
...root into another term. We may, therefore, iind another term of the root by dividing the first term of the remainder by three times the square of the first term of the root. See § 169. c.) If now we subtract from the given polynomial the cube of the part of the root a1ready... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...of the root 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
...Subtract the cube of the first term of the root from the given polynomial. i 4. Divide the first term of the remainder by three times the square of the first term of the root, and place the quotient as ike second term of the root. 5. Cube the sum of the ßrst two terms 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... | |
| |
