...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...

...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....

...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....

...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. 3. To divide two polynomials...

...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...

...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...

...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....

...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 first rule'; connect the results by their proper signs (remembering like produce positive,...

...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...

...factors, the quotient is the other factor. Therefore, (ap + bp + cp) -~-p = a + b + c. But a, 6, and c are the quotients obtained by dividing each term,...p. Therefore, to divide a polynomial by a monomial, 96. Divide each term of the polynomial by the monomial. EXERCISE XXI. JL (Sab — 12ae)-r-4a = 26 —...