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" 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. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 81
των Warren Colburn - 1831 - 276 σελίδες
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An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1844 - 276 σελίδες
...abc be divided into 2 a parts, what is one of the parts ? Ans. 3 bc ; because 2 a times 3 bca 6 a 6 c. Hence we derive the following RULE? Divide the...out the letters of the divisor from the dividend. Observe that 4 a3 is the same as 4 aaa and a2 is the same as aa ; 4 aaa divided by aa gives 4 a for...

Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - 1844 - 500 σελίδες
...t, „. , , 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...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 σελίδες
...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...

Elements of Algebra: Including Sturms' Theorem

Charles Davies - 1845 - 368 σελίδες
...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...

An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - 1845 - 294 σελίδες
...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...

A Treatise on Algebra

Elias Loomis - 1846 - 346 σελίδες
...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...

A Treatise on Algebra

Elias Loomis - 1846 - 346 σελίδες
...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...

Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 σελίδες
...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...

Mathematics for practical men

Olinthus Gilbert Gregory - 1848 - 80 σελίδες
...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...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848
...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...




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