...considered as a part of the dividend, and its first term, in which a has the highest exponent, cannot be obtained, otherwise than by the multiplication...by the first rule art. 31, for the quantity — 20 as b, being regarded as apart of the product, having a sign contrary to that of the multiplicand 5...

...considered as a part of the dividend, and its first term, in which o has the highest exponent, cannot be obtained, otherwise than by the multiplication...necessary to assign that which is to be prefixed to thecorres-. ponding term of the quotient. This ic easily done by the first ruk art. 31, for the quantity...

...therefore the term in a2 of the second partial dividend is destroyed by the subtraction of the product of the first term of the divisor by the second term of the quotient. The product of the second term of the divisor by the second term of the quotient, 26" X (56s— 3c")a=(1063—...

...that — 10a26, the first term of the second partial product, is the quantity formed by multiplying the first term of the divisor by the second term of the quotient ; and if we could, in any way, obtain ft-om the dividend this quantity, — 10alb, dividing it by 2a2,...

...divisor and quotient) is arranged as directed in the rule, its first term is produced without reduction by the multiplication of the first term of the divisor by the first of the quotient. Hence tlio rale above for finding the latter. This first term of the quotient...

...— Bx. DIVISION. Since — x2, the first term of this new dividend, must equal the product of x*, the first term of the divisor, by the second term of the quotient, we divide — x2 by x2, and have — 1 for the second term of the quotient. — 1 time the whole divisor...

...remaining terms of the quotient, and consequently the first term — a2 of this product is the product of the first term of the divisor by the second term of the quotient. Dividing therefore this first term — «2 by the first term of the divisor a2 we obtain — 1 for...

...divisor by n be subtracted from the dividend, the first term of the remainder ap is the product of a, the first term of the divisor, by/), the second term of the quotient. That is, the second term of the quotient is obtained by dividing the first term of the remainder by...

...divisor by n be subtracted from the dividend, the first term of the remainder ap is the product of a, the first term of the divisor, by^>, the second term of the quotient; that is, the second term of the quotient is obtained by dividing the first term of the remainder by...

...divisor by n be subtracted from the dividend, the first term of the remainder ap is the product of a, the first term of the divisor, by^>, the second term of the quotient ; that is, the second term of the quotient is obtained by dividing the first term of the remainder...