 To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.  A College Algebra - Page 19by James Morford Taylor - 1889 - 317 pagesFull view - About this book
 | George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...tens + 9 5ft. 2 in. 10yd. 4 in. Iten +1 i 4)40.3 + 16-5 9)9¿ + 9 5/+2Í 10-3+ 4-5 t + í That is, to divide a polynomial by a monomial, Divide each term of the dividend Ъу the divisor and add the partial quotients. If we divide zero by any number, the result... | |
 | George Wentworth, David Eugene Smith - Algebra - 1913 - 312 pages
...9 5ft. 2 in. 10yd. 4 in. !ten +1 2)10/+ 4i 4)40-3 + 16-5 9)9i + 9 5/+ 2 i 10-3+4-5 í + 1 That is, to divide a polynomial by a monomial, Divide each term of the dividend by the divisor and add the partial quotients. If we divide zero by any number, the result... | |
 | Fletcher Durell - Algebra - 1914 - 606 pages
...simplified by the fact that ac + be ac . be , , This is called the Distributive Law of Division. Hence, to divide a polynomial by a monomial, Divide each term of the dividend by each term of the divisor, and connect the results by the proper signs. Ex. 1. Divide I2a3x... | |
 | Fletcher Durell - Algebra - 1914 - 404 pages
...can be greatly simplified by the fact that This is called the Distributive Law of Division. Hence, to divide a polynomial by a monomial, Divide each term of the dividend by each term of the divisor, and connect the results by the proper signs. Ex. 1. Divide 12a3x... | |
 | Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 298 pages
...follows from the definition of division that (ab + ас + ad) +a = b+c + d This illustrates the rule : To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and add the quotients. 12a362 (-*) (-») 1. Я • 9 11. 21. 22. 23. 24. 26. 26. 27. 28. 29. 3ab X 2. 3. ¿19 •... | |
 | Raymond Earl Manchester - Algebra - 1915 - 216 pages
...quotient. 10-^5 = 2 therefore (Note) The fundamental operations are discussed fully in the next section. 2 To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. Example — (6xy * + 4x *y + 8x ' y * ) •*• 2xy 2xy\6xy'+4x'y+8x*yt 3y +2x Problems 1 Perform the... | |
 | George Hervey Hallett, Robert Franklin Anderson - Algebra - 1917 - 432 pages
...d _Öab 8 ае 10 ad ~ 2a 2a 2a From the foregoing illustration we infer the following rule: Rule. To divide a polynomial by a monomial, divide each...term, of the polynomial by the monomial and add the quotient». Note. (6 ab — 8 ас + 10 ml) -н 2 a may be written 6 aft -8 ac + Wad 2a ; or 2 a)6... | |
 | Harry Morton Keal - Mathematics - 1917 - 148 pages
...Division of a Polynomial by a Monomial 88 By Art. 79, 2(a+b)=2a+2b Therefore, 2a'+2b = a+b 2 89 RULE: To divide a polynomial by a monomial, divide each term of the polynomial by the monomial, and write the result as a polynomial. Example: Divide 2 1m6 -35m4 + 7m3 by -7m2 21m6-35m4+7m3 —7m2 =... | |
 | Harry Morton Keal, Nancy Seymour Phelps - Mathematics - 1917 - 240 pages
...Division of a Polynomial by a Monomial 88 By Art. 79, 2(a+b) =2a+2b Therefore, 2a'+2b = a+b ¿i 89 RULE: To divide a polynomial by a monomial, divide each term of the polynomial by the monomial, and write the result as a polynomial. Example: Divide 21m6 — 35m4+7m3 by —7m2 21m6-35m4 + 7m3 ., .,... | |
 | Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...m2 -24 m) ч- 6 m. 20. (a"+i — a") ч- a". 155. From these examples we derive the following rule : To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and unite the results with their respective signs. EXAMPLES 1. (3a2-6a)-s-3a. 2. (15a2-5a + 5)ч-(- 5).... | |
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