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IV. Multiplication
Associative Law for Multiplication
Index Law for Multiplication
Distributive Law for Multiplication
Commutative Law for Addition and Subtraction
Associative Law for Addition and Subtraction.
Dimension, Degree, Ascending and Descending Powers
Miscellaneous Examples I.
.
Commutative Law for Multiplication
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17
23
24
25
26
CHAPTER
PAGE
VIII. Symbolical Expression
IX. Problems Leading to Simple Equations
X. Resolution into Factors
Trinomial Expressions .
Difference of Two Squares
Important Cases
Sum or Difference of Two Cubes
Miscellaneous Cases
Converse Use of Factors
The Factor Theorem
XI. Highest Common Factor
Factor Theorem Employed
XII. Lowest Common Multiple
XIII. Fractions
Reduction to Lowest Terms
Multiplication and Division
Addition and Subtraction
Rules for Change of Sign
121
XXX. Theory of Quadratic Equations
Number of the Roots
Character of the Roots
Relation of Roots and Coefficients
Formation of Equations with Given Roots
Miscellaneous Theorems
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258
264
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272
Transformations that may be made in a Proportion . 293
Greatest Term.
Sum of the Coefficients
Expansion of Multinomials
Application when Index is Negative or Fractional