# Ch 4: Factoring with FOIL, Graphing Parabolas and Solving Quadratics

Watch algebra videos and learn about the FOIL method, parabolas, quadratic equations and more. These lessons are just a portion of our course materials.

First, what are parabolas, and where do we see them in real life? As you journey along this learning curve, you'll learn how to identify a parabola's key attributes: vertex, maximum, roots and axis of symmetry. You'll also encounter parabolas in their standard, vertex and intercept forms. By the time we're done, you'll view these strange creatures as familiar friends and know how to answer even the most abstract questions about them.

Only marathon runners and inept mathematicians take the long way, so we'll teach you a shortcut with the FOIL method. No, it doesn't involve wrapping up leftovers before putting them in the fridge; instead, it's a speedy way to multiply two binomials. As you get more practice, you'll also see how the area method can help with multiplying more complex polynomials.

In some mathematical cases, you'll need to move from a polynomial to a product, or from standard form to intercept form. You'll see how factoring makes this possible. Along the way, you'll encounter the diamond problem and learn how to factor by grouping. We also have plenty of practice problems, so you can get comfortable with completing the square when it comes to quadratic equations.

Last but not least, you'll use your factoring expertise to solve quadratic equations. We'll give you all the information and tools that you need to succeed, such as the zero product property, discriminants and the quadratic formula. By the end of these videos, you'll even know how to solve quadratics that aren't written in standard form. We're making algebra accessible, one great lesson at a time.

Final Exam
Chapter Exam

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