 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
 | David Wells Payne - Founding - 1917 - 724 pages
...factors remove them. Thus: , a*bx ax a3 1 a*bx -j- aby = -=-— = — ; -: = -; = 0-' aby y a° a? To Divide a Polynomial by a Monomial Divide each term of the polynomial by the monomial. Thus: (8a6 — 12oc) -T. 40 = 26 — 3C. To Divide a Polynomial by a Polynomial Arrange the terms of... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 300 pages
...5 4 ft. 2 in. 5 yd. 2 in. 5 tens + 1 8)12/+6z 8)40-7 + 16.9 5)25^ + 5 4/+2f 5-7+2-9 5t + l 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 quotient... | |
 | Harry Morton Keal, Clarence J. Leonard - Mathematics - 1921 - 238 pages
...Division of a Polynomial by a Monomial. By the rules for multiplication 5(x-2y) = 5x-10y Therefore: Rule. To divide a polynomial by a monomial divide each term of the polynomial by the monomial. The work can be arranged conveniently thus: DIVISION 45 EXERCISE 12 Divide : 2. ay2-3 y2-3y+4. U 3.... | |
 | John Bascom Hamilton, Herbert Earle Buchanan - Mathematics - 1921 - 310 pages
...multiplication. Since x(a+b+c) =ax+bx+cx, it follows that (ax+bx+cx) + x = a+b+c. Hence the rule : 184. Rule. To divide a polynomial by a monomial divide each term of the polynomial by the monomial. 185. Indicated Division. In case there are no factors in any terms which will cancel, the division... | |
 | Edson Homer Taylor - Mathematics - 1922 - 180 pages
...15zy2 be divided by 3z ? These examples illustrate the Rule for dividing a polynomial by a monomial. To divide a polynomial by a monomial divide each term of the polynomial by the monomial and add the quotients. Exercise 17 Find the following quotients, and prove the results by multiplication : 1. (4z... | |
 | James Robert Overman - Arithmetic - 1923 - 396 pages
...32 3 tens+2 units 3«+2w 4 ft. 3 in. 3z+2y From cases such as these, the pupils draw the conclusion. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. EXERCISE. FUNDAMENTAL PROCESSES. 1. Add the following. 3 - m - n . Oft 2 - 3 - a - b Q^ 2 - b 3 -5... | |
 | William Kent - Mechanical engineering - 1923 - 1450 pages
...expressions have common factors, remove the common factors: o'ftx ax a* a1 I , " divisor, andl he quotien!' To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Soft— 12uf) -i-4o = 2ft — 3c. To divide a polynomial by a polynomial, arrange both dividend atii... | |
 | Raymond Randell Wallace - 1925 - 180 pages
...produit is divided by & number if one of the factors is divided by that number. 13. 0/0 equals one. 14. To divide a polynomial by a monomial divide each term of the polynomial by the monomial end combine the results. 16. The exponent of a is Б. 16. The Ъаав of 107 IB 7. 17. 107/103 equals... | |
 | William Le Roy Hart - Algebra - 1926 - 412 pages
...of the literal parts of the monomials, using the law of exponents for division. _ — 4 ab — 4 ab To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and unite the results with proper Thus, -xz-x = Jx - 2 - 2 _ - Хг - Xs To divide one polynomial by another... | |
 | William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...In like manner, since 3 x (2 x — 5 y) = 6 x2 — 15 xy, we have 6 x2 - 15 xy = 2x - 5y. 3 x Rule. To divide a polynomial by a monomial, divide each term of the polynomial in order by the monomial and add the quotients. Example. Divide 15 a4b — 21 a3b2 + 27 a2b3 by 3 a2Ь.... | |
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