Polynomial and Rational Functions
Understanding polynomial and rational functions, their graphs, and behavior
All Topics in Polynomial and Rational Functions
Polynomial Functions and End Behavior
Understanding polynomial functions, their graphs, and how to determine end behavior
Rational Functions and Asymptotes
Understanding rational functions, vertical asymptotes, horizontal asymptotes, and holes
Polynomial Division and Remainder Theorem
Understanding polynomial long division, synthetic division, and the Remainder and Factor Theorems
Partial Fraction Decomposition
Breaking down rational expressions into simpler fractions for integration and analysis
Complex Numbers and Operations
Understand complex numbers, perform operations with complex numbers, and solve equations involving complex solutions.
Fundamental Theorem of Algebra and Factoring
Apply the Fundamental Theorem of Algebra to find all roots of polynomials and completely factor polynomial expressions.
Polynomial Inequalities
Solve polynomial inequalities using sign analysis, test points, and graphical methods.
Rational Inequalities
Solve rational inequalities by finding critical values from zeros and vertical asymptotes, then using sign analysis.
Polynomial Inequalities
Solve polynomial inequalities using sign analysis, test points, and graphical methods.
Rational Inequalities
Solve rational inequalities by finding critical values from zeros and vertical asymptotes, then using sign analysis.