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 Strums' Theorem - Page 23by M. Bourdon (Louis Pierre Marie) - 1847 - 368 pagesFull view - About this book
| Silvestre François Lacroix - Algebra - 1818 - 276 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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...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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...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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...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... | |
| Luther Ainsworth - Mathematics - 1837 - 272 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... | |
| Charles Davies, Bourdon (Louis Pierre Marie, M.) - Algebra - 1838 - 355 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... | |
| Charles Davies - Algebra - 1839 - 252 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... | |
| Thomas Sherwin - Algebra - 1841 - 300 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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