October 15, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Factoring a quadratic into binomials.

This mini-lesson shows you how to factor a quadratic into binomials. As is the case in Algebra many times, the overview provided here in text might seem a little complicated, but don't worry -- it will be easy to follow once you hear the instructor explain it in the video provided. Some quadratics can be factored into two identical binomials. Such quadratics are called perfect square trinomials. As quadratic expression is the product of two binomials, factoring a quadratic means breaking the quadratic back into its binomial parts. Here factoring is done using the rule of LIOF (FOIL in reverse). A couple of general rules to keep in mind:

This mini-lesson shows you how to factor a quadratic into binomials. As is the case in Algebra many times, the overview provided here in text might seem a little complicated, but don't worry -- it will be easy to follow once you hear the instructor explain it in the video provided. Some quadratics can be factored into two identical binomials. Such quadratics are called perfect square trinomials. As quadratic expression is the product of two binomials, factoring a quadratic means breaking the quadratic back into its binomial parts. Here factoring is done using the rule of LIOF (FOIL in reverse). A couple of general rules to keep in mind:

- The factoring of x
^{2}+ (a + b)x + ab will result into (x + a) (x + b). For example, the two factors of x^{2}+ 5x + 6 are (x + 2)(x + 3) - Another common type of algebraic factoring is called the difference of two squares: (x
^{2}– c^{2}) = (x + c) (x – c). For example: factors of x^{2}– 4 are (x + 2) (x – 2)

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

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