| Stephen Chase - Algebra - 1849 - 348 pages
...ac+bc+ay+by. See §67. Hence, we have, for the multiplication of polynomials, the following RULE. § 71. **Multiply each term of the multiplicand by each term of the multiplier, and add the** products. See Geom. §178. Cor. III. a.) This is precisely the method employed in Arithmetic. Thus,... | |
| Thomas Lund - Algebra - 1851 - 186 pages
...7. . . 16, p. 25.] 23. To multiply one quantity by another, when both consist of two or more terms. **RULE. Multiply each term of the multiplicand by each term of the multiplier,** according to the rule for single terms, and the SUM of these separate products will be the product... | |
| William Smyth - Algebra - 1851 - 272 pages
...polynomials: 1°. Arrange th« proposed polynomials according to the powers of the same letter. 2°. **Multiply each term of the multiplicand by each term of the multiplier,** observing that if the terms are affected each with the same sign, the product should have the sign... | |
| Joseph Ray - Algebra - 1852 - 408 pages
...terms in each are positive, we have the following RULE FOE MULTIPLYING ONE POLYNOMIAL BY ANOTHER. — **Multiply each term of the multiplicand by each term of the multiplier, and add the** products together. EXAMPLES. 2. Multiply x-\-y by a-\-c. Ans. ax-\-ay-\-cx-\-cy. 3. Multiply 2a4-3z... | |
| Benjamin Greenleaf - Algebra - 1853 - 370 pages
...11 by — am. Ans. CASE III. 84. When both the multiplicand and multiplier are compound quantities. **RULE. Multiply each term of the multiplicand by each term of the multiplier,** remembering that the product of like signs is -\-, and the product of unlike signs is — ; then add... | |
| Benjamin Greenleaf - Algebra - 1854 - 414 pages
...— am. Ans. CASE HI. 84. When both the multiplicand and multiplier are compound quantities. RTJLE. **Multiply each term of the multiplicand by each term of the multiplier,** remembering that the product of like signs is -[-, and the product of unlike signs is — ; then add... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...minus, (55.) The whole doctrine of multiplication is therefore com prehended in the following ROLE. **Multiply each term of the multiplicand by each term of the multiplier, and add** together all the partial products, observing '.hat like signs require + in the product, and unlike... | |
| William Smyth - Algebra - 1855 - 370 pages
...From what has been done we have the following rule for the multiplication of polynomials, viz. 1°. **Multiply each term of the multiplicand by each term of the multiplier,** observing with respect to the signs, that if two terms multiplied together have each the same sign,... | |
| Elias Loomis - Algebra - 1856 - 280 pages
...to multiply a+b by c and d successively, and add the partial products. Hence we deduce the following **RULE. Multiply each term of the multiplicand by each term of the multiplier** separately, and add together the products. Examples. (1.) (2.) (3.) Multiply a+b 3x+2y ax+b by a+b... | |
| Archibald Montgomerie - Algebra - 1857 - 116 pages
...Multiply each of its terms by the other factor. 20. When both factors are compound. Multiply eacli **term of the multiplicand by each term of the multiplier, and add the partial products,** as in Arithmetic. Multiply EXERCISES. (1.) a by Ь Ans. a6. (2.) .«e by y. .... аху. (3.) ob by... | |
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