New First Course in Algebra

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Ginn, 1926 - Algebra - 421 pages
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Page 294 - Annex the root digit just found to the trial divisor to make the complete divisor, multiply the complete divisor by this root digit, subtract the result from the dividend, and annex to the remainder the next period for a new dividend. Double the part of the root already found for a new trial divisor and proceed as before until the desired number of digits of the root have been found. After extracting the square root of a number involving decimals, point off one decimal place in the root for every...
Page 144 - Definitions. Factoring is the process of finding two or more expressions whose product is equal to a given expression. Many simple exercises in factoring were solved in the preceding chapter in connection with the rules of multiplication there given.
Page 109 - That is, the exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. For example, — = a*~".
Page 95 - 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 it.
Page 139 - The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the unlike terms multiplied by the common term, plus the algebraic product of the unlike terms.
Page 294 - Double the part of the root already found for a trial divisor, divide it into the remainder (omitting...
Page 134 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Page 289 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.
Page 91 - The exponent of any letter in the product is equal to the sum of the exponents of that letter in the factors. This is expressed in general terms, thus: nx пь = пa+ь.
Page 188 - Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.

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