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Fractions Before You Start Reminder Simple Fractions Complex Fractions Compound Fractions Converting Decimals to Fractions Converting Percentages to Fractions or Decimals Summary of Rules Units of Conversion Linear Measure Square Measure Cubic Measure Complex Numbers Basic Definitions and Arithmetic The Complex Plane The Polar Form of a Complex Number Euler's Formula Quadratic Equations Basic Definitions Solutions or Roots of Quadratic Equations Completing the Square Quadratic Formula Solutions by Factoring Sign of Quadratic Functions: Application to Inequalities Factorization and Roots of Polynomials Polynomial Long Division An Introduction: Factoring and Roots of Polynomials Finding Roots of Polynomials Graphically and Numerically The Fundamental Theorem of Algebra Factoring: Some Special Cases Quadratic Polynomials: Factoring by Guessing Quadratic Polynomials: Completing the Square Quadratic Polynomials: The Quadratic Formula Factoring over the Complex Numbers Rational Zeros of Polynomials The "Cubic Formula" The Geometry of the Cubic Formula The "Quartic Formula" Solving Equations Linear Equations Equations Containing Radicals Equations Containing Absolute Value(s) Quadratic Equations Equations Involving Fractions Exponential Equations Logarithmic Equations Trigonometric Equations Systems of Equations Systems of linear equations in Two variables. Systems of linear equations in Three variables. Inequalities Basic Rules The Real Number Line, Interval Notation and Set Notation Absolute Value Inequalities Solving Polynomial Inequalities by Graphing Solving Polynomial Inequalities Analytically Solving Rational Inequalities Analytically Inverse Functions Introduction Inverse Functions With No Domain Restriction Composition of Functions Inverse Functions With Domain Restriction Logarithms and Exponential Functions Equivalence Exponential Shortcuts Exponential Rules Exponential Functions Logarithmic Functions Properties of Logarithms Graphs of Logarithms Change of Base Rules of Logarithms Logarithmic Inverse Functions Solving Exponential Equations Solving Logarithmic Equations Solving word problems related to exponential and logarithmic functions Rational Functions The Method of Partial Fractions