| Arthur William Potter - 1904 - 182 σελίδες
...Zaxyb 3(a + 6)3 4(a - c)3 38. 39. 40. 41. siïïfy 5(a;+y)* 4(z - y) - 4(o - 6) MULTIPLICATION RULE. To multiply a polynomial by a monomial, multiply each term of the multiplicand by the multiplier as in case of monomials. (The multiplier is generally written under... | |
| Charles Austin Hobbs - 1905 - 158 σελίδες
...a as the multiplier, we see that each term of the polynomial is multiplied by the monomial. Hence, to multiply a polynomial by a monomial, multiply each...of the polynomial by the monomial, and connect the results thus obtained by the proper signs. I. Multiply 6 xs — 4 xy + у2,?4 by 5 x2y. 6 Xs — 4... | |
| George Albert Wentworth - 1906 - 440 σελίδες
...POLYNOMIALS BY MONOMIALS 106. By p. 15, § 44, we have a (b + o) = ab + ac, and a (b - c) = ab - ac. Hence, To Multiply a Polynomial by a Monomial, Multiply each...by the monomial, and connect the partial products by their proper signs. 1. Find the product of ж2 - 2 xy + if and 2 xy. x2 — 2 xy + у* 2 x2y —... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - 1908 - 460 σελίδες
...literal part of the product. Sec. 104. (4) If any factor is zero, the product is zero. Sec. 105. 5. To multiply a polynomial by a monomial, multiply each term of the multiplicand by the monomial and use the signs obtained as the signs of the product. Sec. 107. 6. To... | |
| Jacob William Albert Young - 1908 - 344 σελίδες
...14. -8asb. 19. — md2. 5. 47Г/-2. 10. 6аж2. 15. 14 6r2. 20. MULTIPLICATION OF POLYNOMIALS 107. To multiply a polynomial by a monomial multiply each term of the multiplicand by the monomial and use the signs obtained as the signs of the product. For example :... | |
| George William Myers - 1909 - 390 σελίδες
...dividend. Multiplication and division of arithmetical numbers may be simplified by the use of exponents. To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the separate products algebraically. To divide a polynomial by a monomial, divide each term of... | |
| William Kent - 1910 - 1620 σελίδες
...an exponent equal to the sum of the powers a* xa* ™ a': a«6* X ab — aW: - lab X 2ac = - l-latr. To multiply a polynomial by a monomial, multiply each term of the polynomial by tlip monomial and add the partial products: (60 — 3*> X 3c - ISoc - 9bc. To multiply two ix>lynomials,... | |
| School of Railway Signaling (Utica, N.Y.) - 1910 - 446 σελίδες
...multiply SJT by — 2xy and proceed toward the right giving each product its proper sign. 149. Rri,E. — To multiply a polynomial by a monomial, multiply each term of the polynomial from left to right by the monomial and connect the terms of the product with the proper signs. 150.... | |
| John Charles Stone, James Franklin Millis - 1911 - 698 σελίδες
...multiplied by a number when each of its parts is multiplied by that number, we have the following rule : To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial, and add the partial products obtained. NOTE. — This fundamental principle, that a polynomial is multiplied... | |
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