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" 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 - Page 25
by Silvestre François Lacroix - 1818 - 276 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...the multiplication of polynomials is performed by multiplying successively, according to the rules given for simple quantities (21 — 26), all the terms of the multiplicand by each lerm of the multiplier, and by observing that each particular product must have the same sign, as the...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...that the multiplication of polynomials is performed by multiplying successively according to the rules given for simple quantities (21 — 26), all the terms...sign, as the corresponding part of the multiplicand, -iahen the multiplier has the sign -f-, and the contrary sign when the individual multiplier has the...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...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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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1829 - 284 pages
...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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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 360 pages
...-Multiply 15aV6*yby9a3c6 V. Prod. 135 aVb43;ys. MULTIPLICATION OF POLYNOMIALS. 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
...rules in the memory. 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. Then reduce the polynomial...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...— , gives — . 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. 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
...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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...— , gives — . 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. Then reduce the polynomial...
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