Related Topics:

More Lessons for GCSE Maths

Math Worksheets

Videos to help GCSE Maths students learn how to factorise and solve quadratic equations.

**Factorising quadratics where a is not 1**

A short video showing a quick method for factorising quadratic expressions where the coefficient of the x squared term is not 1. This is a quick method that allows the correct answer to be achieved without trial and error and guess work.

Examples:

2x^{2} + 9x + 4

3x^{2} - x - 2

12x^{2} - 11x + 2

** GCSE Algebra Harder Factoring Quadratics Coefficient not 1**

GCSE and AS Core 1 Mathematics Examples:

2x^{2} + 3x + 1 = 0

3p^{2} + 7p + 2 = 0

4x^{2} + 8x + 3 = 0

4u^{2} + 17u + 4 = 0

6p^{2} + 5p - 4 = 0

12r^{2} + 8r - 15 = 0

-6y^{2} - y + 2 = 0

2x^{2} - 3x + 1 = 0

4x^{2} - 23x - 6 = 0

**GCSE Maths - Quadratic Equations 4 (Factoring/solving when a ≠ 1) - Higher Algebra**

Examples:

6x^{2} + 7x + 2 = 0

2x^{2} - 11x + 5 = 0

8p^{2} + 2p - 3 = 0

3x^{2} + 7x = 6

4x = 3 + 10/x

**GCSE to A Level Bridging Course Harder Factoring and Solving of Quadratic Equations**

A video explaining how to solve a quadratic equation where coefficient of x^{2} is greater than 1.

Examples:

Factorise each of the following expressions:

3x^{2} + 8x + 4

5x^{2} + 3x - 2

Solve the following quadratic equations.

x^{2} - 9 = 0

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

4/x - 6/x + 1/(x + 1) = 0

3x^{2} + 6x = 24

Solve the following equations correct to 2 decimal places each time.

x^{2} + 4x - 6 = 0

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 GCSE Maths

Math Worksheets

Videos to help GCSE Maths students learn how to factorise and solve quadratic equations.

A short video showing a quick method for factorising quadratic expressions where the coefficient of the x squared term is not 1. This is a quick method that allows the correct answer to be achieved without trial and error and guess work.

Examples:

2x

3x

12x

GCSE and AS Core 1 Mathematics Examples:

2x

3p

4x

4u

6p

12r

-6y

2x

4x

Examples:

6x

2x

8p

3x

4x = 3 + 10/x

A video explaining how to solve a quadratic equation where coefficient of x

Examples:

Factorise each of the following expressions:

3x

5x

Solve the following quadratic equations.

x

4x

4/x - 6/x + 1/(x + 1) = 0

3x

Solve the following equations correct to 2 decimal places each time.

x

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.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.