Factoring (3.2.2) December 10th, 2016.

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Presentation transcript:

Factoring (3.2.2) December 10th, 2016

*We have already learned how to factor out common factors and to factor quadratics with the x-box method (equivalent to the grouping method in the textbook). Now, we will extend our factoring knowledge to solving quadratic equations.

Steps for Solving Quadratic Equations by Factoring 1) Set one side of the quadratic equal to zero 2) Factor out the greatest common factor. 3) Factor the remaining quadratic with the x-box method, if possible. 4) Set each linear factor of the form ax+b equal to zero. 5) Solve the new equations for x.

Ex. 1: Solve each equation by factoring.

Ex. 2: The length of a rectangle is 3 inches longer than twice its width. If the area of the rectangle is 5 square inches. What is the length and width of the rectangle?