MA 127 - College Algebra II

• Simplify expressions containing exponents and radicals
• Perform the four fundamental operations with radicals
• Represent complex numbers as vectors
• Perform the four fundamental operations with complex numbers in rectangular form
• Solve linear and quadratic equations
• Convert a given complex number from rectangular to polar form and vice versa
• Multiply and divide complex numbers in polar form
• Use De Moivre’s formula to find powers and roots of complex numbers
• Solve systems of quadratic equations algebraically
• Solve radical equations and equations in quadratic form
• Use synthetic division to find roots of polynomial equations
• Use the properties of determinants to evaluate a determinant of arbitrary order
• Solve linear systems by Cramer’s Rule
• Perform algebraic operations with matrices
• Use row operations to find the inverse of a given matrix and solve a given system of equations
• Use the binomial theorem to expand a given binomial
• Use the distance and midpoint formulas
• Find equations of lines

• Fundamental algebraic operations
• Special products and factoring
• Operations with algebraic functions
• Quadratic equations
• Basic concepts of trigonometry

• Exponents and radicals 
• Algebraic expressions
• Factoring
• Linear equations and applications
• Quadratic equations
• Other equations
• Coordinate plane
• Functions
• Systems of linear equations
• Matrices
• Determinants
• Binomial Theorem