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More Lessons for Grade 9

Math Worksheets

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.

**Solving Quadratic Equations by Factoring**

Solve

1. x^{2} - 9x = 0

2. x^{2} - 3x - 10 = 0

3. x^{2} - 36 = 0

4. 3x^{2} + 4x - 7 = 0

**Solving Quadratic Equations by Factoring**

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 11x^{2} - 18x - 8 = 0
**Solve quadratic equation by factoring**

Solve x^{2} -3x = 4

**Math Help Quadratics: Solve by Factoring**

Examples:

Solve

1. x^{2} - 2x - 24 = 0

2. 100x^{2} = 300x

3. (x - 2)(x + 1) = 4

4. 2x^{3} = 5x^{2} + 3x

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 9

Math Worksheets

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

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

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. x

2. x

3. x

4. 3x

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 11x

Solve x

Examples:

Solve

1. x

2. 100x

3. (x - 2)(x + 1) = 4

4. 2x

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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