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" Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. "
Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ... - Page 26
by Charles Davies - 1835 - 353 pages
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...с'+3 by fi^frV*, and check. 100. PROBLEM 3. To multiply a polynomial by a polynomial. Rule. Multiply each term of the multiplicand by each term of the multiplier, and add the partial product». Dem. This is the most general case of law C, ie, (a + b + c)x = ax + bx + ex....
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Elementary Algebra and Mensuration: Instruction Paper

American School (Lansing, Ill.) - Algebra - 1902 - 80 pages
...other words if both multiplier and multiplicand, are polynomials we proceed in the same way ; multiply each term of the multiplicand by each term of the multiplier and add the products. In performing multiplication of polynomials the signs are of utmost importance. 57. Example....
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...From the above is derived the following method of multiplying a polynomial by a polynomial : Multiply each term of the multiplicand by each term of the multiplier, and add the products (algebraically). 1 . Multiply a? + 3 j?y + 3 xy- + y3 by x + y. v> + 3 xy + 3 xy- +•...
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Mathematics

American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...other words if both multiplier and multiplicand, are polynomials we proceed in the same way ; multiply each term of the multiplicand by each term of the multiplier and add the products. In performing multiplication of polynomials the signs are of utmost importance. 57. Example....
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New Grammar School Arithmetic, Part 2

John Henry Walsh - Algebra - 1903 - 288 pages
...+ 2 a; Multiplying x + 2 by 3, 3 x + 6 Adding the two parts of the product, x2 + 5 ж + 6 Multiply each term of the multiplicand by each term of the multiplier and combine the products. 2. Multiply x + 3 by x — 4. x + S a;-4 ж2 - x - 12 Multiply : 3. х + ЗЪух...
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A College Algebra

Henry Burchard Fine - Algebra - 1904 - 616 pages
...like or unlike signs. 2. To find the product of a polynomial by a monomial or polynomial, multiply each term of the multiplicand by each term of the "multiplier and add the products thus obtained. The first rule follows from the commutative and associative laws and the...
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Advanced Course in Algebra

Webster Wells - Algebra - 1904 - 642 pages
...whatever the number of terms in the multiplicand or multiplier. We then have the following rule : Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. 1. Multiply 3a-4& by 2(i-5b. In accordance with the rule, we multiply За —...
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Elements of Algebra for Beginners

George Washington Hull - Algebra - 1904 - 172 pages
...00 Adding, we have 6 а2 - 13 aft + 6 ft2. From this example we derive the following RULE. Multiply each term of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES 2. .3. 4. m +n m + n m — n )n —n m +n m — n m2 + mn + mn + и2...
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A College Algebra

Henry Burchard Fine - Algebra - 1904 - 612 pages
...like or unlike signs. 2. To find the product of a polynomial by a monomial or polynomial, multiply each term of the multiplicand by each term of the multiplier and add the products thus obtained. The first rule follows from the commutative and associative laws and the...
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Elementary Algebra

John Henry Tanner - Algebra - 1904 - 398 pages
...Similarly for any polynomials whatever; ie, the product of two polynomials is obtained by multiplying each term of the multiplicand by each term of the multiplier, and adding the partial products. If any two or more terms of a product are similar, they should, of course,...
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