 # Solving Quadratic Equations by Factoring

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Videos, solutions, examples, worksheets, games and activities to help Algebra students learn about solving quadratic equations by factoring.

How to solve quadratic equations by factoring?
The method for solving quadratic equations by factoring is based on the zero-factor property of real numbers.

What is the zero-factor property?
If two numbers a and b are multiplied together and the resulting product is 0, then at least one of the numbers must be 0.
if ab = 0, then either a = 0 or b = 0 or both a = 0 and b = 0.

Solve
1. x2 - 9x = 0
2. x2 - 3x - 10 = 0
3. x2 - 36 = 0
4. 3x2 + 4x - 7 = 0
Students learn to solve quadratic equations by the method of their choice, using the following rules.
If possible, use the factoring method.
If there is no coefficient on the squared term, and the middle term of the trinomial is even, use completing the square.
If there is a coefficient on the squared term, and/or if the middle term is odd, use the quadratic formula.
If the variable only appears in the squared term, get the variable by itself on one side of the equation and square root both sides.
Example:
Solve 11x2 - 18x - 8 = 0 Solve quadratic equation by factoring
Solve x2 -3x = 4
Math Help Quadratics: Solve by Factoring
Examples:
Solve
1. x2 - 2x - 24 = 0
2. 100x2 = 300x
3. (x - 2)(x + 1) = 4
4. 2x3 = 5x2 + 3x

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