TOC
Courses
Blog
Shop
Search
Search subtopics
Search all
Toggle menu
Courses
Blog
Subreddit
Discord
Log in
Sign up
▾
Algebra 2
▸
Polynomial arithmetic
•
Descartes's rule of signs
•
Difficult factoring problems
•
Polynomial long division and graphing cubics
•
Rational root theorem
•
Higher-order polynomials
•
Remainder theorem
•
Factor theorem
•
Sum and difference of cubes
•
Reciprocal polynomials
•
Adding and subtracting polynomials
•
Multiplying binomials by polynomials
•
Proving the sum and difference of cubes formulas
•
Factoring and solving polynomials by graphing
▾
Complex numbers
•
Intro to complex numbers
•
Powers of the imaginary unit
•
Simplifying square roots of negative integers
•
Plotting complex numbers
•
Adding and subtracting complex numbers
•
Multiplying complex numbers
•
Complex number conjugates
•
Dividing complex numbers
•
Modulus and argument of a complex number
•
Proving properties of the complex modulus
•
Converting complex numbers between polar and rectangular form
•
Powers of complex numbers using modulus and argument
•
Square root of a complex number
•
Distance and midpoint of complex numbers
•
Linear factorization
•
Solving equations with complex numbers
•
Quadratic equations with complex solutions
•
Complex conjugate root theorem
•
Fundamental theorem of algebra
▸
Polynomial factorization, division, and end behavior
•
Finding the GCD and LCM of polynomials
•
Sophie Germain's identity
•
Dividing a polynomial by a monomial
•
Dividing quadratics by linear expressions
•
Polynomial long division
•
Synthetic division
•
Converting improper algebraic fractions to mixed algebraic fractions
▸
Rational exponents and radicals
•
Adding and subtracting radicals
•
Converting between radicals and rational exponents
•
Rewrite exponential expressions
•
Simplifying expressions with radicals and rational exponents
•
Solving equations with radicals and rational exponents
•
Transformations of the square and cube root functions
▸
Logarithms
•
Evaluating logarithms
•
Evaluating natural logarithms
•
Converting between logarithmic form and exponential form
•
Evaluating logarithmic expressions using the one-to-one property
▸
Expanding and condensing logarithmic expressions
•
Expanding logarithmic expressions
▸
Condensing logarithmic expressions
•
Lesson
•
Practice
•
Inverses of exponential and logarithmic functions
▸
Graphing logarithmic functions
•
Sketching logarithmic functions under transformations
▸
Basic properties of logarithms
•
Intro
•
Proofs
•
Using the theorems
•
Change of base formula
•
Properties of logarithms cheat sheet
•
Solving logarithmic inequalities
•
Solving literal equations using properties of logarithms
▸
Solving logarithmic equations
•
Solving logarithmic equations using the one-to-one property
•
Solving logarithmic equations using the properties of logarithms
•
Verifying logarithmic identities
•
Fractal dimension
•
Logarithmic scale
•
Approximating logarithms
▸
Transformations of functions
•
Shifting, scaling, and reflecting
•
Even and odd functions
•
Wishful thinking strategy
▸
Equations and inequalities
•
Solving literal equations
•
Alternative quadratic formula
▸
Solving exponential equations
▸
Solving exponential equations using the one-to-one property
•
Lesson
•
Practice
•
Intersections of lines, circles, and parabolas
•
Solving and graphing polynomial inequalities using a sign chart
•
Solving and graphing rational inequalities using a sign chart
•
Direct variation
•
Inverse variation
▸
Rational functions
•
Adding and subtracting rational expressions
•
Finding the domain and range of rational functions
•
Graphing rational functions
•
Asymptotes and intercepts of rational functions
•
Graphing reciprocal functions
•
Multiplying and dividing rational expressions
•
Simplifying complex fractions with variables
•
Simplifying rational expressions
•
Simplifying square roots of rational expressions
•
Solving literal rational equations
•
Solving rational equations
›
Algebra 2
›
Complex numbers
Fundamental theorem of algebra
Students will learn what the fundamental theorem of algebra is.
Lessons and practice problems