Syllabus for
Intermediate Algebra & Trigonometry
MATH 112 — Dr Rick Butterworth
- Chapter Five: Exponents and Polynomials
- 5.1 Exponents
- 5.2 Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
- 5.4 Special Products
- 5.5 Negative Exponents and Scientific Notation
- Chapter Six: Factoring Polynomials
- 6.1 The Greatest Common Factor and Factoring by Grouping
- 6.2 Factoring Trinomials of the Form

- 6.3 Factoring Trinomials of the Form
and Perfect Square Trinomials - 6.4 Factoring Trinomials of the Form
by Grouping - 6.5 Factoring Binomials
- 6.6 Solving Quadratic Equations by Factoring
- 6.7 Quadratic Equations and Problem Solving
- Chapter Seven: Rational Expressions
- 7.1 Simplifying Rational Expressions
- 7.2 Multiplying and Dividing Rational Expressions
- 7.3 Adding and Subtractng Rational Expressions with the Common Denominators and Least Common Denominator
- 7.4 Adding and Subtractng Rational Expressions with Unlike Denominators
- 7.8 Simplifying Complex Fractions
- Chapter Nine: Quadratic Equations
- 9.1 Solving Quadratic Equations by the Square Root Principle
- 9.2 Solving Quadratic Equations by Completing the Square
- 9.3 Solving Quadratic Equations by the Quadratic Formula
- 9.4 Complex Solutions of Quadratic Equations
- Handouts: Trigonometry
- Measuring angles
- Defining the trigonometric functions
- Finding the trig functions of acute angles
- Finding the trig function of any angle, using reference angles
- Special angles
- Converting between degrees and radians
- Using calculators to find trig functions
- Chapter Eight: Roots and Radicals
- 8.1 Introduction to Radicals
- 8.2 Simplifying Radicals
- 8.7 Rational Expression