 | William Smyth - 1851 - 272 σελίδες
...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 - 1857 - 608 σελίδες
...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 - 1860 - 330 σελίδες
...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.... | |
 | Horatio Nelson Robinson - 1863 - 432 σελίδες
...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 - 1864 - 444 σελίδες
...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 - 1865 - 314 σελίδες
...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 - 1876 - 120 σελίδες
...quotient, we may reduce the numerous rules for division given in many of our textbooks to the following : (1). To divide one monomial by another, — suppress...of the polynomial by the monomial according to the first rule'; connect the results by their proper signs (remembering like produce positive, unlike produce... | |
 | Edward Olney - 1879 - 172 σελίδες
...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... | |
 | George Albert Wentworth - 1888 - 514 σελίδες
...But a, b, and c are the quotients obtained by dividing each term, ap, bp, and cp, by p. Therefore, to divide a polynomial by a monomial, divide each term of the polynomial by the monomial. 43. Division of Polynomials by Polynomials. If the divisor (one factor) is a + b + c, and the quotient... | |
 | Edward Albert Bowser - 1888 - 868 σελίδες
...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... | |
| |
To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c. 
