 | William Smyth - Algebra - 1830 - 278 pages
...what has been said we have the following rule for the division of simple quantities, viz. 1°. divide the coefficient of the dividend by the coefficient of the divisor; 2°. suppress in the dividend the letters, which are common to it and the divisor, when they have the same... | |
 | Charles Davies - Algebra - 1839 - 264 pages
...of multiplication 8a3x9a2=72a5. 72a5 Hence, we have -——-—9a", 8aJ a result which is obtained by dividing the coefficient of the dividend by the coefficient of the divisor, and subtracting the exponents of the like letter. QUEST. — 42. What is the object of division in'... | |
 | Thomas Sherwin - Algebra - 1841 - 314 pages
...examples and observations, we derive the following RULE FOR DIVIDING ONE MONOMIAL. BY ANOTHER. 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 they have the same exponents... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...the rules of multiplication 8a3x9a2=72a5. 72a5 Hence, we have = 9a2, oaj a result which is obtained by dividing the coefficient of the dividend by the coefficient of the divisor, and subtracting the exponents of the like letter. QUEST. — 42. What is the object of division in... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...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. 2. Reject the letters common to both dividend and divisor when they have the same exponent; but when the... | |
 | George Peacock - Algebra - 1845 - 480 pages
...fl^S1"1 according as the signs of the dividend and divisor are the same are monoor different." nomials. "The coefficient of the quotient is found by dividing the coefficient of the dividend by that of the divisor." " The literal part of the quotient is found by obliterating the symbols or their... | |
 | George Peacock - Algebra - 1845 - 474 pages
...according as the signs of the dividend and divisor are the same are monoor different." nonlials"The coefficient of the quotient is found by dividing the coefficient of the dividend by that of the divisor." " The literal part of the quotient is found by obliterating the symbols or their... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...exponent of the dividend. (67.) Hence for the division of monomials, we have the following RULE. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2. Subtract the exponents of the letters in the divisor from the exponents of the same letters in the... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...of the dividend. (67.) Hence for the division of monomials, we have the following RULE. 1 . Divide the coefficient of the dividend by the coefficient of the divisor. 2. Subtract the exponents of the letters in the divisor from the exponents of the same letters in the... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...is 9a2 ; for by the rules of multiplication 72a6 Hence, we have =9a2, oaj a result which is obtained by dividing the coefficient of the dividend by the coefficient of the divisor, and subtracting the exponents of the like letter. QUEST. — 42. What is the object of division in... | |
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Strike out from the dividend the letters common to it and the divisor, when they have the same... 
