| Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...are polynomials. CASE I. 106. In this case, the dividend and divisor are both monomials. , . RULE. 1. Divide the coefficient of the dividend by the coefficient of the divisor. the same, subtract the exponent of the divisor from that of the dividend, and the remainder will be... | |
| 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 composing the dividend, and for its... | |
| Charles Davies - Algebra - 1848 - 302 pages
...7ab x 5o2ic = 35a3i2c. 422 = 7abe. 8a3bc Hence, for the division of monomials we have the following RULE. 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 each... | |
| Charles Davies - Algebra - 1848 - 300 pages
...by the other, and place the common radical over the quotient. II. If the radicals have coefficients, divide the coefficient of the dividend by the coefficient of the divisor, and place the quotient before the common radical. ELEMENTARY ALGEBRA. Thus, — = =Y/-7- i squares... | |
| Charles Davies - Algebra - 1851 - 300 pages
...5a26c = 35a362c. Also, for, Again' Hence, for the division of monomials we have the following RDI.E. 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 each... | |
| 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 - 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... | |
| 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."... | |
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