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 104by Henry Burchard Fine - 1904 - 595 pagesFull view - About this book
| Charles Davies - Algebra - 1860 - 299 pages
...357 Ans. -r_ 10. Reduce -- ^—^-- -Ans. 3a52c2. — 5a~65~ To divide a polynomial by a monomial. 51. **To divide a polynomial by a monomial : Divide each term of the dividend,** separately, by the divisor ; the algebraic sum of the quotients will be the quotient sought. EXAMPLES.... | |
| 1863
...both, subtract the exponents which affect the same letters, and divide the coefficients one by another. **2. To divide a polynomial by a monomial, divide each term of the** polynomial by the monomial according to the rule 1, and connect the results by their proper signs.... | |
| Horatio Nelson Robinson - Algebra - 1863 - 420 pages
...terms are alike, prefix the plus sign to the quotient ; if they are unlike, prefix the minus sign. **To divide a polynomial by a monomial ; — Divide each term of the dividend** separately, and connect the quotients by their proper signs, NOTE. — It may happen that the dividend... | |
| Horatio Nelson Robinson - Algebra - 1864 - 420 pages
...terms are alike, prefix the plus sign to the quotient ; if they are unlike, prefix the minus sign. **To divide a polynomial by a monomial ; — Divide each term of the dividend** separately, and connect the quotients by their proper signs. NOTE. — It may happen that the dividend... | |
| Paul Allen Towne - Algebra - 1865 - 298 pages
...a;5y525-Ha;5y5z3 14. 15. — 6'Vr--2lV=3y. 16. — 7| a;6y H- — 17. 729xy -H — 27r -t- 6i 18. 69. **To divide a polynomial by a monomial : Divide each term of the dividend by the divisor,** according to 68. KXAMPLES. 1. Divide a? -\- 2xy + y3 by x. Ans. x + 2y + y3x-1. 2. Divide 3ax3 + 6abx... | |
| W. P. Higgs - Algebra - 1876 - 104 pages
...subtract the exponents which affect the same letters ; and divide the coefficients one by another. **(2). To divide a polynomial by a monomial, — divide each term of the** polynomial by the monomial according to the first rule'; connect the results by their proper signs... | |
| Edward Olney - Arithmetic - 1879 - 148 pages
...should be explained by the pupil in a similar manner. .__ . iamx 16em8a: — ' '' (123.) RULE. — **To divide a polynomial by a monomial, divide each term of the** polynomial by the divisor, and connect the partial quotients by their own signs. (23.) (24.) 5x ) IQжz... | |
| Edward Albert Bowser - Algebra - 1888 - 540 pages
...ab3 + abc ; , a?b — ab1 + abc therefore - ! - = a — b + c. ab Hence we have the following rule : **To divide a polynomial by a monomial, divide each term of the dividend** separately by the divisor. For example (8a* - 6a26 + 2«2c) •*• 2u2 = 4a - 36 + c. (9z — I2y... | |
| James Morford Taylor - Algebra - 1889 - 363 pages
...dividend and divisor (§§47-48). 53. From the distributive law we have the following two rules: (i.) **To divide a polynomial by a monomial, divide each term of the** polynomial by the monomial and add the results. (ii.) To divide one polynomial by another, arrange... | |
| William Kent - Engineering - 1907 - 1129 pages
...a?bx ax a* a3 1 _a a*bx -i-afttf = — r — • = - — > — z = a: —- = —-= a aby y a3 a5 a2 **To divide a polynomial by a monomial, divide each term of the** polynomial by the monomial: (8aft — 12ac) -*- 4a = 2ft — 3c. To divide a polynomial by a polynomial,... | |
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