...divisor, and omitting any letter having the same exponent in the dividend and divisor. Sec. 149. 2. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and use the signs obtained as the signs of the quotient. Sec. 155. 3. To divide by a polynomial, arrange...

...Since (1) a — bd + 5 с m m)ma — m6d + 5 mс ma — m6cZ + 5 mс a — bd + 5 с 155. Accordingly, To divide a polynomial by a monomial, divide each term of the polynomial by the monomial, and use the signs obtained as the signs of the quotient. WRITTEN EXERCISES Divide and test : 1. (6а2 +...

...monomial, multiply each term of the polynomial by the monomial and add the separate products algebraically. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial, .then add the separate quotients algebraically. The product of two polynomials is obtained by multiplying...

...monomial, multiply each term of the polynomial by the monomial and add the separate products algebraically. To divide a polynomial by a monomial, divide each term of the polynomial by the monomial, then add the separate quotients algebraically. The product of two polynomials is obtained by multiplying...

...ж(а + b + с) = аж + bx + еж. TT ax -\- bx + ex , i , Hence — :!: - — — = а + & + c. £B To divide a polynomial by a monomial, divide each term of the dividend by the monomial and add the partial quotients thus formed. E - 6 яРуУ - 15 ayV + 3 xyz*...

...have common factors, oaovethe common factors: afbi •*- aby a'bx ' -s~ at>y ax a* -~ ', — ; y a' To divide a polynomial by a monomial, divide each term of the polyODulby the monomial: (Sab - IVac) + 4a = 26 - 3r. inde a polynomial by a polynomial, arrange both...

...be such that the product of its tenus by the divisor will give the terms of the dividend. Hence the rule : To divide a polynomial by a monomial, divide each term of the dividend by the divisor, and add the partial quotients. EXAMPLE. — Divide 4 yfy — 8 se2y2 + 6 xy3...

...6 b Divide 18« by 3. Next 6 a- 2 b divide -6 i 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 — ас, by a....

...simplified by the fact that ac + be ac . be . , This is called the Distributive Law of Division. Hence, to divide a polynomial by a monomial, Divide each term of the dividend by each term of the divisor, and connect the results by the proper signs. Ex. 1. Divide 12a3x...

...(1) then, (2) a — bd + 5 с mm)ma — mbd + 5 me ma — mbd + 5 me a—bd + 5c 132. Accordingly, to divide a polynomial by a monomial, divide each term of the polynomial by the monomial, and use the signs obtained as the signs of the quotient. WRITTEN EXERCISES Divide and test : 1. (6 a2 +...