Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first term of the required root, and subtract its square from the given polynomial. The boys' algebra - Page 95by James Cahill (of Dublin.) - 1875 - 209 pagesFull view - About this book
| George Roberts Perkins - Algebra - 1850 - 276 pages
...RULE. I. Jlfter arranging the polynomial according to the powers of some one of the letters, take the root of the first term for the first term of the required root, and subfract its square from the polynomial. II. Bring down the next two terms for a dividend. Divide it... | |
| Benjamin Peirce - Algebra - 1855 - 308 pages
...square root of a given polynomial. Arrange its terms according to the powers of some letter, extract the square root of the first term for the first term of the root. Double the part of the root thus found. for a divisor, subtract the square of this part of the... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...OF A POLYNOMIAL. Arrange the terms according to the powers of one of the letters, and take the nth root of the first term for the first term of the required root. Subtract its power from the given polynomial, and divide the first term of the remainder by n times... | |
| Elias Loomis - Algebra - 1856 - 280 pages
...polynomial, we have the following RULE. 1. Arrange the terms in the order of the powers of tome one letter ; take the square root of the first term for the first...required root, and subtract its square from the given polynomial. 2. Divide the first term: of the remainder by double the root already found, and annex... | |
| Archibald Montgomerie - Algebra - 1857 - 116 pages
...powers of some one of the letters, commencing either with the highest or lowest power. (2.) Find the root of the first term, for the first term of the...subtract its square from the given quantity. (3.) For a new divisor, take the double of the part of the root found, and divide the first term of the... | |
| Elias Loomis - Algebra - 1858 - 394 pages
...EXTRACTING THE SQUAH.E ROOT OP A POLYNOMIAL. Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first...required root, and subtract its square from the given polynomial. Divide the first term of the remainder by double the root already found, and annex the... | |
| Elias Loomis - Algebra - 1864 - 386 pages
...EXTRACTING THE SQ.UARE ROOT OP A POLYNOMIAL Arrange the terms according to the powers of some one letter} take the square root of the first term for the first term of tlte re' quired root, and subtract its square from the given polynomial. Divide the first term of the... | |
| Elias Loomis - Algebra - 1868 - 386 pages
...Hence we derive the following RULE. 1st. Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first...required root, and subtract its square from the given polynomial. 2d. Divide the first term of the remainder by twice the root already found, and annex the... | |
| Elias Loomis - Algebra - 1868 - 312 pages
...polynomial, we have the following RULE. 1. Arrange the terms in the order of the powers of same one letter ; take the square root of the first term for the first term of the required root, and .. ubtract its square from the given polynomial. 2. Divide the first term of the remainder by double... | |
| Charles Davies - 1870 - 348 pages
...may be found. Hence, the RULE. I. Arrange the polynomial with reference to some letter, and extract the square root of the first term for the first term of t7ie root. Subtract the square of this term from the polynomial for the first remainder. П. Double... | |
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