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Algebra 2
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Polynomial arithmetic
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Descartes's rule of signs
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Difficult factoring problems
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Polynomial long division and graphing cubics
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Rational root theorem
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Higher-order polynomials
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Remainder theorem
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Factor theorem
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Sum and difference of cubes
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Reciprocal polynomials
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Adding and subtracting polynomials
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Multiplying binomials by polynomials
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Proving the sum and difference of cubes formulas
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Factoring and solving polynomials by graphing
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Complex numbers
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Intro to complex numbers
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Powers of the imaginary unit
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Simplifying square roots of negative integers
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Plotting complex numbers
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Adding and subtracting complex numbers
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Multiplying complex numbers
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Complex number conjugates
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Dividing complex numbers
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Modulus and argument of a complex number
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Proving properties of the complex modulus
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Converting complex numbers between polar and rectangular form
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Powers of complex numbers using modulus and argument
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Square root of a complex number
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Distance and midpoint of complex numbers
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Linear factorization
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Solving equations with complex numbers
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Quadratic equations with complex solutions
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Complex conjugate root theorem
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Polynomial factorization, division, and end behavior
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Finding the GCD and LCM of polynomials
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Sophie Germain's identity
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Dividing a polynomial by a monomial
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Dividing quadratics by linear expressions
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Polynomial long division
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Synthetic division
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Converting improper algebraic fractions to mixed algebraic fractions
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Rational exponents and radicals
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Adding and subtracting radicals
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Converting between radicals and rational exponents
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Rewrite exponential expressions
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Simplifying expressions with radicals and rational exponents
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Solving equations with radicals and rational exponents
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Transformations of the square and cube root functions
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Logarithms
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Evaluating logarithms
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Evaluating natural logarithms
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Converting between logarithmic form and exponential form
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Evaluating logarithmic expressions using the one-to-one property
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Expanding and condensing logarithmic expressions
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Expanding logarithmic expressions
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Condensing logarithmic expressions
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Lesson
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Practice
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Inverses of exponential and logarithmic functions
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Graphing logarithmic functions
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Sketching logarithmic functions under transformations
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Properties of logarithms
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Intro
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Proofs
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Using the theorems
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Solving logarithmic inequalities
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Solving literal equations using properties of logarithms
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Solving logarithmic equations
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Solving logarithmic equations using the one-to-one property
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Solving logarithmic equations using the properties of logarithms
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Verifying logarithmic identities
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Fractal dimension
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Logarithmic scale
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Transformations of functions
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Shifting, scaling, and reflecting
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Even and odd functions
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Wishful thinking strategy
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Equations and inequalities
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Solving literal equations
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Alternative quadratic formula
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Solving exponential equations
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Solving exponential equations using the one-to-one property
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Lesson
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Practice
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Intersections of lines, circles, and parabolas
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Solving and graphing polynomial inequalities using a sign chart
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Solving and graphing rational inequalities using a sign chart
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Direct variation
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Inverse variation
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Rational functions
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Adding and subtracting rational expressions
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Finding the domain and range of rational functions
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Graphing rational functions
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Asymptotes and intercepts of rational functions
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Graphing reciprocal functions
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Multiplying and dividing rational expressions
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Simplifying complex fractions with variables
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Simplifying rational expressions
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Simplifying square roots of rational expressions
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Solving literal rational equations
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Solving rational equations
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Algebra 2
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Equations and inequalities
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Intersections of lines, circles, and parabolas
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Other resources
Intersection of parabola and circle
YouTube videos
9054
Nonlinear Systems of Equations Part 5
YourMathGal
\(\begin{align} & x^2 + y^2 = 25 \\ & y = x^2 - 5 \end{align}\)