| Charles Davies - Algebra - 1842 - 284 pages
...x 5a26c = 35a362c. Again, 8a36c Hence, for the division of monomials we have the following RULE. I. Divide the coefficient of the dividend by the coefficient of the divisor. II. Write in the quotient, after the coefficient, all the letters common to the dividend and divisor,... | |
| Charles Davies - Algebra - 1842 - 368 pages
...for, ..... 7abx5a?-bc=35aWc. 50. Hence, for the division of monomials, we have the following RULE. I. Divide the co-efficient of the dividend by the co-efficient of the divisor. II. Write in the quotient, after the co-efficient, all the letters common to the dividend and divisor,... | |
| Davis Wasgatt Clark - 1844 - 394 pages
...or as both 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. 2. Reject the letters common to both dividend and divisor when they have the same exponent; but when... | |
| Warren Colburn - Algebra - 1844 - 280 pages
...one of the parts ? Ana. 3 1 c ; because 2 a times 3 bc ia 6 ab c. Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend. 3. Divide 16a6c by 4. 4. " 12aJc by 3a.... | |
| William Scott - Algebra - 1844 - 568 pages
...„. , , Consequently, — «r~srr~ =7asc3. Whence, to divide one monomial quantity by another, Rule. Divide the coefficient of the dividend by the coefficient of the divisor ; the result is the coefficient of the quotient. To obtain the literal part of the quotient, 1st. "When... | |
| Charles Davies - Algebra - 1845 - 382 pages
...subtracted from its exponent. 50. Hence, for the division of monomials, we have the followmg RULE. I. Divide the co-efficient of the dividend by the co-efficient of the divisor, for a new co-efficient. II. Write after this co-efficient, all the letters of the dividend, and affect each with an exponent... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...since 3X4a2=12a2. Hence we perceive, generally, that to obtain the coefficient of the quotient, we must divide the coefficient of the dividend by the coefficient of the divisor. Thus 24o2, divided by 6a2, produces 4. 67. If the division is not possible, we indicate it by writing... | |
| Elias Loomis - Algebra - 1846 - 376 pages
...exponent of the divisor from the 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... | |
| Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...as both 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... | |
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