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A visually appearing graphic organizer to review all methods of factoring! Comment what method is your favorite and why below.

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A great flowchart to help you understand how the discriminate relations to the number of solutions. Link the heart when you have review this flowchart.

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A concise video review of the different methods of solving. Like the heart if you used this video to review.

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Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

So what I want to talk about now is an overview of all the different ways of solving a quadratic equation. What I mean by that is anything of the form: axÂ² plus bx plus c. So we have four different ways at our convenience. We have factoring, square root property, completing the square, and the quadratic formula. We can use these methods at different times, and what I want to do is just talk about when we can use them, why they're good, and why they're bad. So I'm just going to go down the row and talk about each one. The 'check' means pros and the 'minus' means cons. Factoring is typically the fastest and easiest way of solving something when it's factorable. Oftentimes, we're dealing with a quadratic that is not factorable, so then factoring is not going to help us. So it's fast and easy when it's usable, but not always factorable, either. So fast and easy, but not always applicable.
The next one we're going to talk about is the square root property. This is when we have something squared. So, the pro: is it's great when you're solving for something squared. The only problem is that it's not always the situation we're dealing with. Any time you have an X term or something like that we're not going to be able to use it. So it's not always a square term. It's great when applicable, but it's not always the case. It actually isn't the case very often at all.
Completing the square. The great thing about completing the square is we can always do it. There will never be a time you won't be able to complete the square. But the downfall is that it can get ugly. If you're dealing with a coefficient or an odd middle term or something like that you're going to introduce fractions. It's not always going to be the nicest situation.
Lastly, is the quadratic formula. It's great, again, because you can always use it. And cons, it depends on the person. If you're using square roots, which some people don't always like, you always have to use square roots as well. It's typically not as easy as some of these other methods, completing the square, I would say, is a little bit easier than that but it's something you have to remember. So you have to remember the formula, and it can get ugly.
So those are the four different ways, the pros and cons, and some things to think about when you're solving a problem. I'm not actually going to solve any for you. I just made a little chart so you'll know the resources you have available, and the pros and cons of each one.

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Overview of the Different Methods of Solving a Quadratic Equation - Concept - Algebra 2 Video by Brightstorm

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Video explanation on the different methods of solving a quadratic equation by completing the square, factoring and using the quadratic formula Solving quadratic equations example problems. Concept explanation.

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Need more practice with quadratics? Play the review game above! Comment your score and encourage others!

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Quizlet is a great way to review! There are flashcards, interactive games, and quizzes to test your current knowledge. Comment the method of review you used on Quizlet.

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Challenge yourself with this interactive Algebra tile simulator. Comment a problem to share with others below.

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Concurrency & Midsegments

The inputs above will be hidden when the program finally gets launched. Currently, I am not hiding them even when you close the calculator. The purpose of the inputs is to help in debugging. This allows you to enter simple code on the calculator screen but the program translates the input to javascript math. Give it a try and see if you notice any obvious problems or have suggestions for improvements.

Advanced Algebra Tile Factoring

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Math skills practice site. Basic math, GED, algebra, geometry, statistics, trigonometry and calculus practice problems are available with instant feedback.

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Watch the video above to explore how to use Algebra tiles to factor a trinomial. Comment your current comfort level of using algebra tiles below!

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Factoring Simple Trinomials Using Algebra Tiles

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Complete the Khan Academy lesson to review different ways to factor. Like the heart when you have completed it!

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Factoring quadratics as (x+a)(x+b) (video) | Khan Academy

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Sal factors x²-3x-10 as (x+2)(x-5) using the sum-product form: (x+a)(x+b)=x²+(a+b)x+a*b.

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Play the wrecks factor game to practice solving by factoring. Comment your score below!

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Factorize quadratics and other expressions using the difference of two squares where the first term has a square coefficient other than 1. e.g. (ax)² - (by)² including removing a common factor from each term first.

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Utilize the online graphic calculator to discover how changing the a, b, and c values impacts the graph. Insert different positive and negative values of a, b, and c.

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Comment a quadratic equation below for classmates to explore on GeoGebra, an online graphing resource!

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Login to your student Desmos account and follow along with the interactive quadratic lesson!

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7.1 Graphing and Solving Quadratic Equations

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See the correlation between the solutions to an equation and the graph of its function.