...+ 2 by a;, a;2 + 2x Multiplying x + 2by3, 3x + 6 Adding the two parts of the product, x2 + 5 x + 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 + 3 3-4 -4x-12 x2 - a; - 12 Multiply : 3....

...or in 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....

...+ md, 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...

...- yao + 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 +...

...monomials have 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...

...holds 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...

...extension of the case of multiplying by monomials. RULE. To multiply a polynomial by a polynomial, multiply each term of the multiplicand by each term of the multiplier separately, and add the partial products, Multiply : 1. a + 4 by a + 10. 2. x — 11 by x — 2. 3....

...monomials have 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...

...night. Ans. (13) In the multiplication of whole numbers, place the multiplier under the multiplicand and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces...

...evidently hold for any two polynomials. Hence the rule : To obtain the product of two polynomials, multiply each term of the multiplicand by each term of the multiplier, and take the sum of the resulting products. EXAMPLE 1. Multiply 2x2— Зху + у2 by Зж2— осу....