Solving Quadratics by Factoring
Learning Objective
I can solve quadratic equations by factoring and applying the zero product property.
Key Concepts
The zero factor property states that if a × b = 0, then either a = 0 or b = 0 or both = 0.
When solving quadratic equations by factoring, the x-intercepts on the graph represent the values that make the equation equal to 0.
When factoring a quadratic equation in the form ax² + bx + c = 0 where a ≠ 1, techniques like grouping, trial and error, or the bottoms up method can be used.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. State the Zero Product Property in your own words. Provide an example.
2. True or False: The solutions to a quadratic equation are the x-intercepts of its graph.
3. Solve the following quadratic equation by factoring: x² + 5x = 0. Show your work.
...and 9 more questions
Educational Video
Solving Quadratic Equations by Factoring
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