 | Olinthus Gregory - 1834 - 484 lapas
...squares. 3. That the cube of the binomial a + b, is a3 + 3 a" b + 3 a b" + b3. SECTION IV. — Division. 1. To divide one monomial by another, suppress the...of the polynomial by the monomial according to the rule 1, and connect the results by their proper signs. 3. To divide two polynomials one by the other,... | |
 | Olinthus Gilbert Gregory - 1848 - 572 lapas
...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 by the other,... | |
 | William Smyth - 1851 - 272 lapas
...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 lapas
...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 lapas
...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.... | |
 | Olinthus Gregory - 1863 - 482 lapas
...squares. 3. That the cube of the binomial a + b, is a3 + 3 a' 3 a 6' + b3. SECTION IV. — Division. 1. To divide one monomial by another, suppress the...of the polynomial by the monomial according to the rule 1, and connect the results by their proper signs. 3. To divide two polynomials one by the other,... | |
 | Horatio Nelson Robinson - 1863 - 432 lapas
...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 lapas
...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 lapas
...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.... | |
 | Edward Olney - 1879 - 172 lapas
...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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To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c. 
