 | Paul Allen Towne - Algebra - 1865 - 314 pages
...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«.«.... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...that quantity; hence, we have the following rule for multiplying a polynomial by a monomial: RULE. Multiply each term of the polynomial by the monomial, and connect the results by their proper signs, EXAMPLES. 1. Multiply 3a35 — 2xy + z by 2ax. Ans. Qa3bx — 4ax*y + 2axz. 2. Multiply... | |
 | James Morford Taylor - Algebra - 1889 - 400 pages
...signs ; after this result write the product of the literal factors, observing the law of exponents. 2. To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial, and add the results. In applying the law of signs, each term must be considered as having the sign which... | |
 | James Morford Taylor - Algebra - 1889 - 340 pages
...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 the monomial, and add the results (§ 41). In applying the law of signs, each term must be considered as having the sign... | |
 | James Morford Taylor - Algebra - 1889 - 340 pages
...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... | |
 | George W. Lilley - Algebra - 1892 - 420 pages
...obtained by multiplying each term of the multiplicand separately by the multiplier. Heiice, in general, To Multiply a Polynomial by a Monomial Multiply each term of the multiplicand by the multiplier, aiul add tlie results. Exercise 15. Multiply : 1. bc + ac-ab by abc;... | |
 | Wallace Clarke Boyden - Algebra - 1894 - 186 pages
...and one of the numbers is x, what is the other number ? 13. ILLUS. 1. а - 6 + с x OPERA TIONS. 55 To multiply a. polynomial by a monomial, multiply each term of the polynomial by tlie monomial, and add tlie results. ILLUS. 2. .e4 + 2x2 + 3x ,•5^-2ж +1 - Uж4 - 4af - liar о... | |
 | William Kent - Engineering - 1895 - 1234 pages
...exponent equal to the sum of the powers: o« xo* = a'; ti-61 x aft = a'b*; - Tab x 2ac = — 14 a-ftc. To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial product«: (6a — 36) x 8c = I8nr Tu multiply two polynomials, multiply each term... | |
 | Webster Wells - Algebra - 1897 - 426 pages
...that the product of a + b and с was ас + bc. We then have the following rule for. the product of a polynomial by a monomial : Multiply each term of the polynomial by the monomial, and unite the results with their proper signs. 1. Multiply - 8a? by 2:c2 - 5 a' + 7. Multiplying each term... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...showed that the product of a + b and с was ac + be. We then have the following rule for the product of a polynomial by a monomial : Multiply each term of the polynomial by the monomial, and unite the results with their proper signs. 1. Multiply -8 я? by 2 я?-5х + 7. Multiplying each term... | |
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To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c. 
