 | Thomas Sherwin - Algebra - 1841 - 314 pages
...— , the quotient must have thf sign — . Art. 42. Hence, we have the following RULE FOR DIVIDING A POLYNOMIAL, BY A MONOMIAL.. Divide each term of the dividend by the divisor, according to the principles given in Art. 4O for dividing one monomial by another, observing the rule... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...the multiplicand by the multiplier; therefore, we have the following RULE, FOR DIVIDING A POLVNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according to the rule for the divvsion of monomials. EXAMPLES. 1. Divide 6x+l 2y by 3 ........... Ans.... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...each term of the multiplicand by the multiplier; therefore, we have the following BULB FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according to th« rtde for the division of monomials. EXAMPLES. 1. Divide 6z+12y by 3 Ans. 2x+4y. 2.... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...J2)Xa=o2i — ai>2; hence, (a2i— aZ>2)-ja=ak—&2 ; therefore, we have the following RULE FOK DIVIDING A POLYNOMIAL BY A MONOMIAL. — Divide each term of the dividend by the divisor, according to the rule for the division of monomials. EXAMPLES FOR PRACTICE. 1. Divide a2+ai by a. Am.... | |
 | Charles Davies - Algebra - 1860 - 330 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.... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 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... | |
 | Olinthus Gregory - 1863 - 482 pages
...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 - 1864 - 444 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 - 314 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... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...b^Xa—ab— ab1 ; hence, (o2i— oi2)-ia==a&—i3 ; therefore, we have the following R'ILE FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. — Divide each term of the dividend by the divisor, according to the rule for tht division of monomials. EXAMPLES FOR PRACTICE. 1. Divide a'+oi by a. Ans.... | |
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To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients. 
