 Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.  Elementary Algebra - Page 243by Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 pagesFull view - About this book
 | Charles Davies - Algebra - 1857 - 408 pages
...the first term of the root. Subtract the square of this term from the (/iuen polynomial. II. Divide the first term of the remainder by twice the first term of the root, and the quotient will be the second term of the root. III. from the first remainder subtract the product... | |
 | William Smyth - Algebra - 1858 - 344 pages
...this remainder, therefore, by twice the terms of the root already found, or which is the same thing, dividing the first term of the remainder by twice the first term of the root, we shall obtain the third term sought. Subtracting from the first remainder twice the product of the... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...term of the root by the second term of the root ; hence, we shall obtain the second term of the root by dividing the first term of the remainder by twice the first term of the root. Also, by the same Principle, if we subtract from the proposed polynomial the square of the sum of the... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...the first term of the root. Subtract the square of this term from the given polynomial. II. Divide the first term of the remainder by twice the first term of the root, and the quotient will be the second term of the root. III. From the first remainder subtract the product... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1866 - 546 pages
...term of the root by the second term of the root ; hence, we shall obtain the second term of the root by dividing the first term of the remainder by twice the first t jrm of the root. Also, by the same Principle, if we subtract from the proposed polynomial the square... | |
 | William Rossiter - 1867 - 250 pages
...obtain b from this remainder ? Evidently by dividing the first term 2ab by 2a; therefore, if we divide the first term of the remainder by twice the first term of the root, we shall obtain the second term of the root. Placing this second term, 6, in the quotient and also... | |
 | Robert Wallace - 1870 - 164 pages
...the polynomial for the first term of the root ; subtract its square from the given polynomial. Divide the first term of the remainder by twice the first term of the rooi for the second term of the root. Multiply twice the first term plus the second by ihe second,... | |
 | Joseph Ficklin - Algebra - 1874 - 446 pages
...term of the required root. Subtract the square of this term from the given polynomial. III. Divide the first term of the remainder by twice the first term of the root, and annex the result to the first term of the root and also to the divisor ; then multiply the divisor... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...term, write it as the first term of the root, and subtract its square from the given expression. Divide the first term of the remainder by twice the first term of the root, and add the quotient to the root and also to the divisor. Multiply the complete divisor by the term of... | |
 | Webster Wells - Algebra - 1885 - 324 pages
...term, write it as the first term of the root, and subtract its square from the given expression. Divide the first term of the remainder by twice the first term of the root, and add the quotient to the root and also to the divisor. Multiply the complete divisor by the term of... | |
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