| Olinthus Gilbert Gregory - 1848
...be struck out. The same rule applies to the signs in division us in multiplication. 2. To divide & **polynomial by a monomial, divide each term of the polynomial by the monomial** according to Rule 1, and connect the results by their proper signs. 3. To divide two polynomials one... | |
| William Smyth - Algebra - 1851 - 236 pages
...a363 by — 9 a26. From what has been done, we have the following rule for the division of polynomials **by a monomial: Divide each term of the polynomial by the monomial,** observing to give to each partial quotient, as we proceed, the proper sign. XXXIV. Let the proposed... | |
| Charles Davies, William Guy Peck - Mathematics - 1857 - 592 pages
...the employment of negative exponents the remaining operation may always be indicated. Zd. Division of **a polynomial by a monomial. Divide each term of the polynomial by the** divisor separately, and the algebraic sum of the separate results will be the quotient sought. 3d.... | |
| 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.... | |
| 1863
...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. 3. To divide two polynomials... | |
| 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... | |
| 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... | |
| 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.... | |
| 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 (remembering like produce positive,... | |
| 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 + 15xy 3x ) 15аx... | |
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