Solving Quadratic Equations by Factoring
Standard Form of a Quadratic Equation
Given real numbers a, b, and c, and a ≠ 0, the standard form of a quadratic equation is ax2 + bx + c = 0. Take a look at the examples below.
- x2 − 9x + 14 = 6 is a quadratic equation that is not in standard form.
- 3x2 − 7x + 2 = 0 us a quadratic equation that is in standard form, a = 3, b = −7, and c = 2.
A quadratic equation must be in standard form in order to use factoring to determine its solutions.
Solving Quadratic Equations by Factoring
Prepare to apply your factoring skills as you work to determine the solutions to quadratic equations. Your knowledge of the Zero Product Property also plays an important role. Click the player button to begin.
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Using Algebra Tiles to Solve Quadratic Equations
Algebra Tiles can be used to model and solve quadratic equations. Take a look at the following example. The model below represents the variable expression of an equation that is set equal to 0. What is the solution set?
The factors represented in the model are (x + 1) and (x + 2). To determine the solutions, set each factor equal to 0 and solve for x.
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The solution set is {−2, −1}.
Solving Quadratic Equations by Factoring Review
Now that you have explored solving quadratic equations by factoring, it is time to review your knowledge and practice what you have learned. Click the player button to get started.
Did you answer the content questions incorrectly? Do you need more instruction or extra practice? If so, view the video Solving Quadratic Equations Algebraically from eMediaVASM.