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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

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

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