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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 Sturm's Theorem - Page 29
1847 - 368 pages
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The Complete Algebra ...

Edward Olney - Algebra - 1881 - 504 pages
...5abx by — caa; ax by e¡/. jfG. To multiply two factors together when one or both are Polynomials. Rule. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the products. Ex. 1. Multiply 2a2z— Щ + ím by 2a3№m. Operation. — It is immaterial...
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The Complete Algebra ...

Edward Olney - Algebra - 1881 - 506 pages
...— ca8; az by cy. 16. To multiply two factors together when one or both are Polynomials. Role. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the products. Ex. 1. Multiply 2a*x— Sby + im by Zasb*m. Operation. — It is immaterial 2a!>x...
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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...аVe?. 1. Examples. 4a + 3& 2. 3. За Зx-iy2 6a + 3&3-4c2 -3г 5cPe POLYNOMIALS BY POLYNOMIALS. 59. RULE. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. 1. 6ж — 3y 24 a? -12 я?у 2. а-b — b3e + c4d + аbс ab!c4d -...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...Arrange the terms of each polynomial according to the ascending or descending powers of the same letter. Multiply all the terms of the multiplicand by each term of the multiplier, and add the several partial products. NOTE. In multiplying, observe carefully the laws of the signs....
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First Year in Algebra

Frederick Howland Somerville - Algebra - 1905 - 222 pages
...Arrange the terms of each polynomial according to the ascending or descending powers of the same letter. Multiply all the terms of the multiplicand by each term of the multiplier, observing the principles that govern the signs. Add the partial products thus formed. Exercise 9 Find...
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Elementary Algebra Revised

Frederick Howland Somerville - Algebra - 1913 - 458 pages
...terms of each polynomial according to the ascending order or the descending order of the same letter. Multiply all the terms of the multiplicand by each term of the multiplier. Add the partial products thus formed. Illustrations : 1. Multiply 2 a + 7 by 3 a - 8. 2a + 7 3 „...
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New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - Algebra - 1891 - 312 pages
...+i °r — multiplied by — , gives -f ; — multiplied by +, or + multiplied by — , gives — . Hence for the multiplication of polynomials we have the following rule : — Multiply every term of the multiplicand by each t-erm of the multiplier, observing that like signs give +, and...
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