...But a, b, and c 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...

...ab3 + abc ; , a?b — ab1 + abc therefore - ! - = a — b + c. ab Hence we have the following rule : To divide a polynomial by a monomial, divide each term of the dividend separately by the divisor. For example (8a* - 6a26 + 2«2c) •*• 2u2 = 4a - 36 + c. (9z...

...dividend and 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...

...men in у days ? 24. a times 6 is how many times c? 18. Ibi-us. - 3 a63 1- 6 aW + 15 аW - 3 a65 2a2 To divide a polynomial by a monomial, divide each term of the dividend by the divisor, and add the quotients. Exercise 25. Divide : by (jа3б. 2. 10.iy + 6*у -...

...factors: аЧх ax a* o* 1 _i a'bx 4-0*1/= — ¡ — = — ! —, = "', -7 = -í = » aby ya* o' o1 То divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sob — Jaiic) ч- 4a = üb — Se. To divide a polynomial by a polynomial, arrange both dividend...

...a?bx ax a* a3 1 _a a*bx -i-afttf = — r — • = - — > — z = a: —- = —-= a aby y a3 a5 a2 To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (8aft — 12ac) -*- 4a = 2ft — 3c. To divide a polynomial by a polynomial, arrange both dividend...

...me) -*-m = a + b - c, by def . of division. These examples indicate the following method of dividing a polynomial by a monomial : Divide each term of the polynomial by the monomial, and add the quotients (algebraically). 1. Divide 4a2x — 2 aa? by 2 ax. (4 a2a; - 2 ax2) -s- 2 ax...

...them. If the expressions have common factors, remove the common factors: o"bx ax a« os 1 _i , . . To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c. To divide a polynomial by a polynomial, arrange both dividend and...

...a- 6 b Divide 18 a by 3. Next ua-26 divide -6b by 3. Write the quotients. The answer is 6 a - 2 b. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and write the quotients in succession. EXERCISE 34 Divide : 1. 5 a + 5 by 5. 13. a2 + ab — aс by...

...dividing by a monomial. From the definition of division and § 320, 4, we derive the following rules. 2. To divide a polynomial by a monomial, divide each term of the dividend by the divisor, and add the quotients so obtained. _ я (,''¡í'r Thus, - 8 a»f>2c -=- б...