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" Since, in multiplying a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier ; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according... "
Elements of Algebra: For Colleges, Schools, and Private Students - Σελίδα 37
των Joseph Ray - 1866 - 406 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 332 σελίδες
...7bd Ans. .•; — . 6ac DIVISION OF POLYNOMIALS. To divide a Polynomial by a Monomial. RULE. (15.) Divide each term of the dividend by the divisor, according to the preceding rule, observing, that when the signs of the divisor and dividend are alike, the quotient...

An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1841 - 314 σελίδες
...different signs, that is, one -\- and the other — , the quotient must have thf sign — . Art. 42. Hence, we have the following RULE FOR DIVIDING A POLYNOMIAL,...term of the dividend by the divisor, according to the principles given in Art. 4O for dividing one monomial by another, observing the rule established above...

An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1844 - 320 σελίδες
...-f- and the other —, the quotient must have the sign—. Art. 42. Hence, we have the following ROLE 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 established above...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 252 σελίδες
...a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL...of the dividend, by the divisor, according to the mle for the dimsion of monomials. EXAMPLES. 1. Divide 6z+12y by 3 Ans. 2x+4y. 2. Divide 15z— 206...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 250 σελίδες
...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. 2x+4y. 2. Divide 15x-206by5...

Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 408 σελίδες
...— 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...according to the rule for the division of monomials. EXAMPLES FOR PRACTICE. 1. Divide a2+ai by a. Am. a-}-b 2. Divide 3m/-(-2a:2y by — xy. Ans. — 3—...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 250 σελίδες
...we multiply 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. Divide 15x—...

Elementary Treatise on Algebra

Thomas Sherwin - 1855 - 318 σελίδες
...— , the quotient must have the sign — . Art. 42. Hence, we have the following RULE FOR JUVJI'IM; 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 established above...

Common School Algebra

Thomas Sherwin - 1855 - 262 σελίδες
...From what precedes, we derive the following RULE FOR THE DIVISION OF A POLYNOMIAL BY A MONOMIAL. 1. Divide each term of the dividend by the divisor, according to the rule for dividing one monomial by another ; the partial quotients, taken together, will form the entire quotient....

Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Μέρος 2

Joseph Ray - 1857 - 408 σελίδες
...by the multiplier. Thus, (db — J2)Xo=o26 — a62; hence, (a26 — ab2)-za=.=ab — b2 ; therefore, we have the following RULE FOR DIVIDING A POLYNOMIAL...according to the rule for the division of monomials. EXAMPLES TOR PRACTICE. 1. Divide a2-|-«6 by a. Ans. a-\-b 2. Divide 3xy-\-2x2y by — xy. Ans. —...




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