Module 3: Rational and exponential functions

Topic A: Lesson 1: Solutions to polynomial equations

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Factoring higher-degree polynomials
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Factoring sum of cubes
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Factoring difference of cubes
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Complex numbers & sum of squares factorization
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Factoring sum of squares
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Finding zeros of polynomials (1 of 2)
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Finding zeros of polynomials (2 of 2)
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Finding zeros of polynomials (example 2)
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Practice

Factor polynomials: complex numbersGet 3 of 4 questions to level up!
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Find zeros of polynomialsGet 3 of 4 questions to level up!
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Topic A: Lessons 2-3: Roots of complex numbers

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Powers of complex numbers
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Complex number equations: x³=1
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Visualizing complex number powers
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Practice

Powers of complex numbersGet 3 of 4 questions to level up!
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Topic A: Lessons 4-5: The binomial theorem

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Intro to the Binomial Theorem
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Pascal's triangle and binomial expansion
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Expanding binomials
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Expanding binomials w/o Pascal's triangle
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Binomial expansion & combinatorics
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Pascal's triangle & combinatorics
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Practice

Expand binomialsGet 3 of 4 questions to level up!
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Topic A: Lessons 6-7: Ellipses

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Intro to ellipses
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Ellipse standard equation from graph
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Ellipse graph from standard equation
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Foci of an ellipse from equation
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Ellipse features review
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Ellipse equation review
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Ellipse foci review
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Practice

Graph & features of ellipsesGet 3 of 4 questions to level up!
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Center & radii of ellipses from equationGet 3 of 4 questions to level up!
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Ellipse standard equation & graphGet 3 of 4 questions to level up!
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Foci of an ellipse from radiiGet 3 of 4 questions to level up!
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Foci of an ellipse from equationGet 3 of 4 questions to level up!
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Equation of an ellipse from featuresGet 3 of 4 questions to level up!
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Topic A: Lesson 8: Hyperbolas

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Intro to hyperbolas
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Vertices & direction of a hyperbola
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Vertices & direction of a hyperbola (example 2)
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Foci of a hyperbola from equation
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Proof of the hyperbola foci formula
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Equation of a hyperbola not centered at the origin
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Practice

Vertices & direction of a hyperbolaGet 3 of 4 questions to level up!
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Foci of a hyperbola from equationGet 3 of 4 questions to level up!
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Equation of a hyperbola from featuresGet 3 of 4 questions to level up!
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Topic A: Lesson 9: Volume and Cavalieri’s principle

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Lesson 9: No content yet
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Topic B: Lessons 10-11: Simplifying rational expressions

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Intro to rational expression simplification
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Intro to rational expressions
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Intro to simplifying rational expressions
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Simplifying rational expressions: common monomial factors
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Simplifying rational expressions: common binomial factors
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Simplifying rational expressions: opposite common binomial factors
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Simplifying rational expressions (advanced)
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Simplifying rational expressions: grouping
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Simplifying rational expressions: higher degree terms
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Simplifying rational expressions: two variables
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Practice

Simplify rational expressions: common monomial factorsGet 3 of 4 questions to level up!
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Simplify rational expressions: common binomial factorsGet 3 of 4 questions to level up!
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Simplify rational expressions (advanced)Get 3 of 4 questions to level up!
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Topic B: Lessons 10-11: Multiplying & dividing rational expressions

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Multiplying & dividing rational expressions: monomials
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Multiplying rational expressions
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Dividing rational expressions
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Multiplying rational expressions
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Dividing rational expressions
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Multiplying rational expressions: multiple variables
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Dividing rational expressions: unknown expression
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Practice

Multiply & divide rational expressions (basic)Get 3 of 4 questions to level up!