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" Hence, for the multiplication of polynomials we have the following RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus. "
Elements of Algebra: Including Sturms' Theorem - Page 27
by Charles Davies - 1845 - 368 pages
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Elements of Algebra

Silvestre François Lacroix - Algebra - 1818 - 422 pages
...performed by multiplying successively, according to the rides given for simple quantities (21 — 26), all the terms of the multiplicand by each term of the multiplier, and by observing that each particular product must have the same sign, as the corresponding part of...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...examples and observations, we derive the following general rule for multiplying compound quantities. 1. Multiply all the terms of the multiplicand by each term of the multiplier, observing the same rules for the coefficients and letters as in simple quantities. 2. With respect...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...performed by multiplying successively according to the rules given for simple quantities (21 — 26), all the terms of the multiplicand by each term of the multiplier, and by observing that each particular product must have the same sign, as the corresponding part of...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1829 - 284 pages
...examples and observations, we derive the following general rule for multiplying compound quantities. 1. Multiply all the terms of the multiplicand by each term of the multiplier, observing the same rules for the coefficients and letters at in simple quantities. 2. With respect...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1830 - 290 pages
...examples and observations, we derive the following general rule for multiply ing compound quantities. 1. Multiply all the terms of the multiplicand by each term of the mvltiplier, observing the same rules for the coefficients and letters as in simple quantities. 2. With...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...Multiply 15a3c26.Ty by 9a3c63«/2. Prod. 135 a^c^xy3. MULTIPLICATION OF POLYNOMIALS. ii RULE. (11.) Multiply all the terms of the multiplicand by each term of the multiplier separately, observing that the product of any two terms which have like signs, that is, both +, or...
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 1837 - 306 pages
...right hand of the former, as its proper index will direct, and so continue, till you have multiplied all the terms of the multiplicand by each term of the multiplier, separately, then add the several products together, as in compound addition, and their sum will be...
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Elements of Algebra

Algebra - 1838 - 372 pages
...brevity, employ incorrect expressions, but which have the advantage of fixing the rules in the memory. Hence, for the multiplication of polynomials we have...of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus. Then reduce the polynomial...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...by + , or — multiplied by — , gives +; —multiplied by +, or + multiplied by — , gives — . Hence, for the multiplication of polynomials we have...of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus. Then reduce the polynomial...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 320 pages
...the preceding explanations, we derive the folowing RULE FOR THE MULTIPLICATION OF POLTIfOMI ALS. 1. Multiply all the terms of the multiplicand by each term of the multiplier separately, according to the rule for the multiplied H'on of simple quantities. XI. MULTIPLICATION...
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