 | Charles Davies - Algebra - 1848 - 300 pages
...ELEMENTARY ALGEBRA. Also, 7ab for, Hence, lor the division of monomials we have the following KtJLE. I. Divide the coefficient of the dividend by the coefficient of the divisor, for a new coefficient. II. Write after this coefficient, all the letters of the dividend, and affect... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...DEGREE. 1st. Find the quotient of the parts under the radical, and place it under the common radical. 2d. If the radicals have coefficients, divide the coefficient of the dividend by that of the divisor, and prefix the result to the common radical. NOTE.— When a radical quantity... | |
 | Olinthus Gilbert Gregory - 1848 - 572 pages
...equal to the difference of their squares. SECT. IV. D witton. 1. To divide one monomial by another, divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient, and subjoin to it a fraction having for its numerator the letters... | |
 | Charles Davies - Algebra - 1850 - 292 pages
...product of Va + 2-\/6 and Va—2,\^b1 Ans. "Y/a2 — 4/>. 8. What is the product of 3ayr27a3 by -y/2a ? Division. 112. To divide one radical by another, we...and place the quotient before the common radical. ELEMENTARY ALGEBRA. / Thus, — —=\— ; for the squares of these two yb expressions are equal to... | |
 | William Smyth - Algebra - 1851 - 272 pages
...has been done, the following rule for the division of monomials will be readily inferred, viz.: 1°. Divide the coefficient of the dividend . by the coefficient of the divisor. 2°. Strike out from the dividend the letters common to it and the divisor, when the erponents in each... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...reduce it to its simplest form by cancelling the letters and Jigures, that are common to each term. Or, divide the coefficient of the dividend by the coefficient of the divisor, and strike out from the dividend the letters common to the divisor. 1. Divide Gab by 2a. EXAMPLES. ^ =... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...1st. Find the quotient of tiie parts under the radical, and place it under tlie common radical. 2d. If the radicals have coefficients, divide the coefficient, of the dividend by that of the divisor, and prefix the result to the common radical. NOTE. — When a radical quantity... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...Hence, we have the following RULE or THE COEFFICIENTS. — To obtain the coefficient of the quotient, divide the coefficient of the dividend by the coefficient of the divisor. 2d. The exponent of a in the quotient must be such a number, that when 2, the exponent of a in the... | |
 | David Henry Cruttenden - Arithmetic - 1853 - 330 pages
...multiplied by 8 x 6*. Ans. 48 x 66*. CASE VI. 1. PRINCIPLE. To Divide Radical quantities. 2. RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and the quantity under the radical sign of the dividend by that of the divisor. 3. Thus, dividing 6 x 14*... | |
 | New York (State) School for the deaf, White Plains - 1854 - 936 pages
...49as— 70ab+25b\" Resolve a2 — b~ into factors 1 What is the rule for the division of monomials 1 " Divide the coefficient of the dividend by the coefficient of the divisor, and write after the quotient the excess of the letters in the dividend over those in the divisor." Divide... | |
| |
Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike... 
