College Algebra

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Scott, Foresman, 1901 - Algebra - 777 pages
 

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Contents

Third and Fourth Rules of Division
67
Transposition
73
CHAPTER VII
79
CHAPTER VIII
86
To Factor the Sum and Difference of Two Cubes
89
To Factor Polynomials which have a Binomial Factor
96
D of Two or more Algebraic Expressions
102
Least Common Multiple of Quantities readily Factored and those
110
Reduction of Fractions to a Lowest Common Denominator
121
Multiplication of Fractions
129
Continued Tractions
136
Book II
145
Removal of Denominator
151
Formulae for the Solut ion of an Equation of the First Degree in
158
Problems Solved for Illustration
164
CHAPTER III
175
CHAPTER V
187
Infinite Solutions
193
Independent Equations
199
Elimination by Substitution
207
Elimination by Undetermined Multiplier
218
General Solution of a System of Two Equations
230
Homogeneous Equations
236
Examples of Three Equations of the First Degree
238
Problems involving Three or More Unknown Numbers
251
Graph of the Solution of a Conditional Equation
259
Intersections of Pairs of Lines
265
Given One Solution of ax byc in Positive Integers to Find
272
Powers of Monomials Fractions Binomials and Polynomials
278
Law of Signs of Roots of Quantities
284
Square Root of Compound Quantities
290
Cube Root of a Polynomial
299
Fractional and Negative Exponents
309
Multiplication and Division of Fractional and Negative Powers
321
Solutions of Inequalities of the First Degree in One Unknown Quantity
330
CHAPTER V
337
Properties of the Series which define I 4
343
CHAPTER VI
349
Addition and Subtraction of Surds
355
Division of Surds
363
CHAPTER VII
373
Complex Numbers
379
CHAPTER II
388
CHAPTER III
398
CHAPTER IV
404

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Page 214 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Page 668 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Page 590 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Page 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Page 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Page 62 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Page 572 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 590 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.
Page 200 - A Solution of a system of simultaneous equations is a set of values of the unknown numbers which satisfies all of the equations.
Page 80 - The product of the sum and difference of two numbers is equal to the difference of their squares.

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