...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...

...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...

...two terms are different, the quotient must have the sign — . ART. 5O. 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...

...indicated, and by 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....

...terms are different, the quotient must have the sign —. ART. »5O. 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...

...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...

...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,...

...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...

...and с 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...

...divisor (§§47,48). 53. From, the distributive law we have the following two rules: (i.) To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and add the results. (ii.) To divide one polynomial by another, arrange both dividend and divisor according to...