 | 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... | |
 | Edward Olney - Algebra - 1878 - 516 pages
...ab; - 5xy by - x'y\ 10. To multiply tivo factors together whtn one or both are polynomials. RULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS. Ex. 1. Multiply 2a'x — Sby+lmby Za'Fm. OPERATION. — It is immaterial 2a2^... | |
 | James Bates Thomson - Algebra - 1878 - 322 pages
...98. The various principles developed in the preceding cases, may be summed up in one GENERAL RULE. 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... | |
 | 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... | |
 | 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... | |
 | Horatio Nelson Robinson - 1875 - 472 pages
...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...lowest term in each,, and call the product of any two orders, the order denoted by the sum of their indices, carrying 1 for every 12. III. Add the partial... | |
 | 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... | |
 | 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 - 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... | |
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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... 
