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Circles: Deriving Standard Form of a Circle - Now that we've looked at quadratics and parabolas pretty decently, let's look at what happens if you overlap them perfectly, the circle! Find out how to derive the standard form and general form of a circle, and how we can tradeoff between the two!
Lesson - Circle Formula
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Graphing Polynomial Functions - You know how to graph linear, quadratic, and other types of functions, but what about higher level functions? Is there something about higher level functions that we can see? Do they share any similarities with each other? Look here to find out!
Lesson - Graphing Polynomial Functions
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Adding and Subtracting Polynomials - Now that we are beginning to look at higher level polynomials, how can we add certain polynomials together? Is there a rule on how to do it? Or maybe an easy way? Find out here!
Lesson - Adding and Subtracting Polynomials
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Multiplying Polynomials - So you know how to add polynomials together, but what about multiplying? Are there rules for this as well? What about different techniques that can help you organize your thoughts? Look here to find out!
Lesson - Multiplying Polynomials
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Binomial Theorem - Wow, multiplying polynomials can be hard and tedious! Is there a model maybe that we can use to help us make it a little easier, so it's not so much work? Turns out, there is! Pascal's triangle shows us all we need to know. Learn more about it here!
Lesson - Binomial Theorem
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Factoring Polynomials: Quadratic Equations - You now know how to multiply polynomials together, but what if we want to undo the multiplication? We can't just divide right? So, what can we do? Well, we can factor! Find out how to do this here!
Lesson - Factoring Polynomials - Quadratic Equations
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Factoring Polynomials: Solving by Grouping - You know how to factor a quadratic now, which is great! But what happens if you don't have a quadratic? What if it's some polynomial that's been taken to some really high exponent, and factoring just won't cut it? Well, we may still be able to factor, but this time in a more special way. Find out how here!
Lesson - Factoring Polynomials - Solving by Grouping
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Factoring Polynomials: Special Patterns - Factoring can be exhausting, can't it? Especially when you can't think of a way to factor a polynomial because nothing obvious stands out. Luckily, through the work of older mathematicians, there are some easier to follow guides that deal with some special polynomials! Check them out!
Lesson - Factoring Polynomials - Special Patterns
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Factoring using Synthetic Division - So now you know how to factor by grouping, but how do we know what to factor out of a polynomial? Is there a way to pull out a linear expression without wanting to cry? Turns out there is! Find out how to do this here!
Lesson - Factoring Using Synthetic Division
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Graphing Cubic Functions - Now let's step it up some and go from quadratics, to cubics! Follow along to find out how to properly graph a cubic function, with all of its properties and characteristics!
Lesson - Graphing Cubic Functions
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Inverse Functions: Quadratics and Cubics - You know how to find the inverse of a function, but what about when they get more complicated, like when it's a quadratic or a cubic function? Find out what you need to do to properly find their inverse, as well as how to check your answer, here!
Lesson - Inverse Functions - Quadratic and Cubic
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Graphing Square Root Functions - Speaking of inverses, how can we graph the inverse of a quadratic function? Is there a way to undo an exponent graph? Find out here!
Lesson - Graphing Square Root Functions
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Graphing Cubic Root Functions - So now you know how to graph square root functions! But what about cubic root functions? Do they look the same as a square root function? Or do they look a little different? Find out how different here!
Lesson - Graphing Cubic Root Functions
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