## Elements of Algebra: For Colleges, Schools, and Private Students, Book 2 |

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### Contents

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### Common terms and phrases

added addition algebraic apply arithmetical assume becomes binomial called changed coefficient common complete consists contains continued cube root decimal denominator derived difference distance divide dividend division divisor equal equation evident example Expand exponent expressed extract Extract the square factors figures Find the cube Find the square find the value formula four fourth fraction given gives greater greatest Hence hour less letter logarithms manner means method miles minus monomial Multiply negative obtain OPERATION perform places polynomial positive preceding principle problem proportion Proposition prove quotient radical raised ratio Reduce remainder represent required to find result Rule separated side similar simple solution solved square root Substituting subtract suppose taken tens term Theorem third tion transposing travels true units unknown quantity Whence whole

### Popular passages

Page 136 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 289 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of

Page 35 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.

Page 39 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 148 - ... by the last figure of the root, and subtract the product from the dividend ; to the remainder bring down the next period for a new dividend.

Page 187 - CD, and, on meeting, it appeared that A had traveled 18 miles more than B ; and that A could have gone B's journey in 15 £ days, but B would have been 28 days in performing A's journey.

Page 68 - Reduce the fractions to a common denominator ; then subtract the numerator of the subtrahend from the numerator of the minuend, and write the result over the common denominator. EXAMPLES. H ,_, Zx . ^ 3x 1. From -^- subtract — . oo . Eeducing to a common denominator, the fractions become Wx 9x "15...

Page 37 - Since, in multiplying a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier ; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according to the rule for the division of monomials.

Page 236 - In any proportion the product of the means is equal to the product of the extremes.

Page 43 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.