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" The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2. "
A Treatise on Algebra: Symbolical algebra and its applications to the ... - Page 21
by George Peacock - 1845
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - Algebra - 1821 - 426 pages
...off 8 and b, those common to the divisor, we have 2 xc, or 2c. In the same manner, by resolving or dividing the co-efficient of the dividend by that of the divisor, the quotient will be had in other cases : Thus, 20a6c divided by 4c, gives Sab; and — 51a& \/~xy x \/...
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A Treatise on the Elements of Algebra: Designed for the Use of Eton School

John Bayley (fellow of Emmanuel College, Cambridge.) - Algebra - 1830 - 428 pages
...it follows that —20^6= Hence it appears that Division of Simple Algebraic Quantities is performed by dividing the co-efficient of the dividend by that of the divisor, and subtracting the index of the divisor from that of the dividend. L 2 йс~ ac_ ¿-^ -¿с. 5ac ....
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...like, the quotient is plus : if unlike, minus. | v 2. Having found the sign, next find the coefficient by dividing the coefficient of the dividend by that of the divisor, as in common arithmetic. 3. To the coefficient, annex the letters, which must be such, that when they...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 pages
...different signs, the sign of the Quotient will be negative. (6) RULE FOR THE COEFFICIENT OF THE QUOTIENT. The Coefficient of the Quotient is found by dividing the Coefficient of the dividend Ъу the Coefficient of the divisor. (с) EULE FOR THE INDEX.* The Index of the Quotient is found by...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...of this letter in the factors. Hence, in division, 1. — The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2. — The exponent of any letter in the quotient must be found by subtracting the exponent of...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...exponents of this letter in the factors. Hence, in division, 1. — The coefficient of the quotient must be found by dividing the coefficient of the dividend by that of the divisor ; and 2. — The exponent of any letter in the quotient must be found by subtracting ilie exponent...
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New Common School Question Book: Comprising Questions and Answers on All ...

Asa Hollister Craig - Examinations - 1897 - 538 pages
...terms are alike, prefix the plus sign to the quotient; if they are unlike, prefix the minus sign. 43. The coefficient of the quotient is found by dividing...coefficient of the dividend by that of the divisor. 44. The exponentof any letter in the quotient is found by substracting the exponent of this letter...
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High School Question Book

W. H. F. Henry - Questions and answers - 1899 - 440 pages
...coefficient and the exponent, respectively, in division f (1) The coefficient of the quotient must be found by dividing the coefficient of the dividend by that of the divisor ; and (2) The exponent of any letter in the quotient must be found by subtracting the exponent of this...
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Grammar School Algebra

George Edward Atwood - 1900 - 276 pages
...the exponent of that letter in the dividend. COEFFICIENTS. 5a2x3a2=15a5, .-. 15 a5 -^ 3 a2 = 5 a'. The coefficient of the quotient is found by dividing the coefficient of the dividend by the coefficient of the divisor. 98. PRINCIPLES. — 1. The quotient is positive when the dividend and...
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Complete Graded Arithmetic: Third grade-[eighth grade], Volume 8

George Edward Atwood - Arithmetic - 1902 - 168 pages
...cfi&y? -=- acV = a?<?x COEFFICIENT OF THE QUOTIENT 5 a3 x 3 a2 = 15 a6, therefore 15 a6 -s- 3 a2 = 5 a3 The coefficient of the quotient is found by dividing the coefficient of the dividend by the coefficient of the divisor. 2 a)8a3 - 2 g*6)-8g*6* - 3 4 a2 4 a262 — 4 abc ORAL EXERCISES 1....
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