| Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...quantities are multiplied. 36. Multiply 3+i/5 and OPERATION. Multiplicand Multiplier, a+y'i /~+ . Here we **multiply each term of the multiplicand by each term of the multiplier,** placing like terms in the same column, and then uniting the results. OPERATION. Multiplicand, 3+/B... | |
| James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...131. Multiplication of Polynomials. The Multiplication of Polynomials is performed by the following **RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the** products. NOTES. — i. This does not differ in principle from the method of multiplying numbers, where... | |
| Edward Olney - Algebra - 1880 - 354 pages
...completed. 84. Prob. — To multiply two factors together when one or both are polynomials. R ULE. — **MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE** PRODUCTS. DEM. — Thus, if any quantity is to be multiplied by a + Ъ — e, if wo take it a times... | |
| Edward Olney - Algebra - 1881 - 254 pages
...the three partial products I have 15z 2 — z—8z 2 , which is 5x + 3y-2z times 3z— 2y+4z. . 28. **RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the** products. 2. Multiply 3a 3 5-2«5 3 +53 by2a5+52. OPERATION. + 3a 3 b 3 — Prod., 6a35 2 +3a 3 b 3... | |
| Edward Olney - Algebra - 1881 - 506 pages
...by Vtf. Prod., a1**. 92. Prob.— To multiply two factors together when one or both are polynomials. **Rule. — Multiply each term of the multiplicand by each term of the multiplier, and add the** products. Demonstration. — Thus, if any quantity is to he multiplied by a + &— c, if we take it... | |
| George Albert Wentworth - Algebra - 1881 - 406 pages
...n -\-p) = am + bm + cm + an + 6n + en That is, to find the product of two polynomials, 71. Multiply **the multiplicand by each term of the multiplier and add the partial products;** or, multiply each term of one factor by each term of the other and add the partial products. 72. In... | |
| Simon Newcomb - Algebra - 1882 - 302 pages
...result as before. We have therefore the following rule for multiplying one polynomial by another. 119. **RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the** products with their proper algebraic signs. EXERCISES. 1. (m - n) (p - q). Solution, (m — n)p = mp... | |
| Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...arrangement. 107. From these examples may be derived a Rule for the Multiplication of Polynomials. **Multiply each term of the multiplicand by each term of the multiplier, and add the** results. 108. Exercises. 267. Multiply 1 — 2a* + 36ar ! by3n. 268. Multiply 2 ax + by — cz by 2... | |
| Simon Newcomb - Algebra - 1884 - 572 pages
...get the same result as before. We have therefore the following rule for multiplying aggregates : 78. **RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the** products wi-th their proper algebraic signs. EXERCISES. 1. (a + b) (2a - 5»2 — 2§w8). 2. (a —... | |
| James Bates Thomson - Algebra - 1884 - 334 pages
...98. The various principles developed in the preceding cases, may be summed up in one GENERAL RULE. r **Multiply each term of the multiplicand by each term of the multiplier,** giving each product its proper sign, and each letter its proper exponent. The sum of the partial products... | |
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