...amb~'"^-anb-n= TO DIVIDE A POLYNOMIAL BY A MONOMIAL. § 81. In multiplying a polynomial by a monomial, wo multiply each term of the polynomial by the monomial, and add the products (§ 69). Therefore, reversing the process, we have, for dividing a polynomial by a monomial,...

...ailected with the sign — . Multiplicand — Zoic*/ Multiplier tc'hf Product - Sai'c6/'. 2. To mulli/ily a polynomial by a monomial. Multiply each term of the polynomial by the monomial, and connect the results by their respective signs ; the final result will be the product. Multiplicand...

...signs, is affected with the sign — . Multiplicand — Zoic'/ Multiplier 4e'A/6 Product - 8a4>c«/6. 2. To multiply a polynomial by a monomial. Multiply each term of the polynomial by the monomial, and connect the results by their respective signs ; the final result will be the product. Multiplicand...

...2xey6z6. 13. Find the product of 7a'6»cz, 5at2c3 and — Ja363c. 14. Find the product of 3a'byzc and 6O. To multiply a polynomial by a monomial: Multiply each term of the multiplicand by the multiplier, according to 59. EXAMPLES. 6. Multiply a;2 -(- «y -{- y2 by a;2. J«.«....

...Ъn + era, or, w(a + è + e) = an + 6и + ста. Hence, to multiply a polynomial by a monomial, 69. Multiply each term of the polynomial by the monomial, and add the partial products. Ex. 14. 2. (2 + 3a-4a2-5as)6a2 = 12a2 + 18«*-24a4-30a5. 3. 5a(35 + 4c-¿) = 15a6...

...this result write the product of the literal factors, observing the law of exponents (§ 38). (ii.) To multiply a polynomial by a monomial, multiply each...the polynomial by the monomial, and add the results (§ 41). In applying the law of signs, each term must be considered as having the sign which precedes...

...this result write the product of the literal factors, observing the law of exponents (§ 38). (ii.) To multiply a polynomial by a monomial, multiply each term of the polynomial by tlie monomial, and add the results (§ 41). In applying the law of signs, each term must be considered...

...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 the powers...

...manner, a (b — c + d — e) = ab — ac + ad — ae. To multiply a polynomial by a monomial, therefore, Multiply each term of the polynomial by the monomial, and add the partial products. ^ :/1 fix '' Exercise 9. Find the product of 1. 7cand5&. 2. 3:rand8y. 3. 3a2and6a3....

...and, a(b — c + d—e) = ab — ac + ad — ae. To multiply a polynomial by a monomial, therefore, Multiply each term of the polynomial by the monomial, and add the partial products. Exercise 11. Find the product of 1. - 17 and 8. . 4. — 18 and — 5. 2. -12.8 and...