Macmillan, 1905 - Algebra - 562 pages
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### Contents

 Algebraic Solution of Problems 1 Factors Powers and Roots 8 CHAPTER II 18 CHAPTER III 25 CHAPTER IV 53 Special Cases in Division 61 FACTORING 64 Type I 96
 122 302 CHAPTER XIX 312 128 318 PROPERTIES OF QUADRATIC EQUATIONS 327 CHAPTER XXI 334 136 342 CHAPTER XXII 346 CHAPTER XXIII 358

 CHAPTER VIII 122 Addition and Subtraction of Fractions 128 Multiplication of Fractions 136 Review Exercise II 143 RATIO AND PROPORTION 167 SIMULTANEOUS EQUATIONS OF THE FIRST DEGREE 185 EVOLUTION 196 18 198 CHAPTER XII 212 CHAPTER XIII 218 Fractional and Negative Exponents 230 53 234 96 239 THE FACTOR THEOREM 243 98 246 104 257 CHAPTER XVI 267 109 268 112 274 0 277 114 280 118 291
 141 362 CHAPTER XXIV 363 143 369 CHAPTER XXV 370 CHAPTER XXVI 386 147 387 DETERMINANTS 401 152 403 Determinants of the Fourth Order 409 156 428 CHAPTER XXVIII 431 158 436 CHAPTER XXIX 463 APPENDIX 501 Cube Roots of Polynomials and Arithmetic Numbers 512 VII 519 Compound Interest and Annuities 538 PAGE 557 184 560 437 561 230 Copyright

### Popular passages

Page 132 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Page 29 - Thus the product of the sum and difference of two numbers is equal to the difference of their squares.
Page 97 - If the degree of the numerator is equal to, or greater than, that of the denominator, the preceding methods are inapplicable.
Page 381 - The sum of the products of the roots taken two at a time is equal to the coefficient of the third term.
Page 29 - ... the square of the second. In the second case, (ab)2 = a?-2ab + bi. (2) That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 66 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms.
Page 430 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 167 - Find the number. 13. If a certain number is divided by the sum of its three digits, the quotient is 43. The sum of the first two digits is equal to the third digit, and if 99 be added to the number, the first and last digits will be interchanged. Find the number. 14. If a certain number is divided by the sum of its two digits, the quotient is 4 and the remainder 3. Three times the first digit exceeds the second digit by 3. Find the number. 15.
Page 84 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor.
Page 29 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.