 | Edward Olney - 1878 - 360 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 + b — c, if wo take... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...these partial products is 3 as -f- 5 a 6 -f- 2 ¿r ; the required product. Hence the following RULE. Multiply each term of the multiplicand by each term of the multiplier separately, and add the partial products. 4а + 3а + EXAMPLES. (2.) (3.) 3Ъ 5a: -j- 3y 12 а2 -j<dab 4 ab -f-... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...to the first. On this we base the following rule for finding the product of two polynomials. BULE. Multiply each term of the multiplicand by each term of the multiplier, remembering that like signs produce +, and unlike signs produce — , and add the partial products.... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...and UNLIKE signs give — . 63. Every case in multiplication is embraced in the following RULE. — Multiply each term of the multiplicand by each term of the multiplier, and connect the partial products by their proper signs. NOTE I. — When some of the terms are alike... | |
 | Popular educator - 1880 - 852 pages
...Place the severe! terms of u 290 201 multiplier tinder the corresponding terms of the multiplicand. Multiply each term of the multiplicand by each term...multiplicand and the highest in the multiplier, and placing the first figure of each line one place to the right of that of the preceding line, nncler... | |
 | James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...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... | |
 | 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... | |
 | William James Milne - Algebra - 1881 - 360 pages
...these two partial products is the entire product. Hence, the product is 2z2 — 3xy — 2y2. RULE. — Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. (2.) (3.) Multiply ab + 2c 3.T2 — any By 2ab — 3c 2z2 + Saxy 2a262... | |
 | Edward Olney - Algebra - 1881 - 254 pages
...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... | |
 | 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... | |
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X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier... 
