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" 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 95
by James Cahill (of Dublin.) - 1875 - 209 pages
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Algebra for the Use of High Schools, Academies and Colleges

John Bernard Clarke - Algebra - 1889 - 566 pages
...BULB.—Arrange the given polynomial according to the as•cending or descending powers of some letter. Extract the square root of the first term for the first term of the root. Subtract the square of the first term of the root from the given polynomial. Divide the first...
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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...the square root of a polynomial : I. Arrange the terms according to the powers of some letter. II. Take the square root of the first term for the first term of the root. III. Subtract the square of the root thus found from the given expression. IV. Divide the first...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...terms according to the powers of some letter. Find the square root of the first term, and imite, it as the first term of the required root, and subtract its square from the first term of the polynomial. Divide the first of the remaining terms by twice the first term of the...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...Arrange the terms according to t lie powers of some letter. Write tlic square root of t lie first term as the first term of the required root, and subtract its square from t/ie given polynomial. For a trial divisor, divide the first term of the remainder by twice t lie part...
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...Arrange the terms according to the powers of some letter. Write the square root of the first term as the first term of the required root, and subtract its square from the given polynomial. For a trial divisor, divide the first term of the remainder by twice the fart of the root...
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Grammar School Algebra

George Edward Atwood - 1900 - 276 pages
...term. a2 + 7 a + 12 a2-6a + 8 133. RULE. — Arrange the trinomial in the form of a? -f- ox + b. Find the square root of the first term for the first term of each binomial factor. Resolve the last term into two factors whose algebraic sum is a, and write these...
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Elementary Algebra: first course

John Charles Stone, James Franklin Millis - Algebra - 1911 - 698 pages
...32Л15В20. 30. (1) Write the given polynomial in descending or ascending powers of some letter. (2) Take the square root of the first term for the first term of the root, and subtract the first term from the polynomial. (3) Double the root found for the first trial...
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Brief Course in Algebra

Raymond Earl Manchester - Algebra - 1915 - 216 pages
...as follows: Ex. Vc Arranging the terms in descending order of exponents, a4+4a3+6a2+4a+l Extracting the square root of the first term for the first term of the quotient, Squaring the quotient and subtracting this result from the expression, o*+4a3+6o2+4a+l 4a3+6a2+4a+l...
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