Last updated on Sep 20, 2026

Factorising Quadratics (Edexcel GCSE Maths): Quizzes

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Factorising quadratics

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What does factorising a quadratic expression mean?

Expressing it as a product of 2 brackets

What is the standard format for a quadratic equation?

$ax^2 + bx + c = 0$

When is factorising a quadratic more straightforward?

When coefficient of $x^2$ equals 1

When $a = 1$ , which two numbers must you find to factorise $x^2 + bx + c = 0$ ?

Numbers that multiply to $c$ , add to $b$

When $a = 1$ , how do you set up the initial brackets?

$(x \quad )(x \quad ) = 0$

If the constant term $c$ is positive, what can you say about the signs in the brackets?

Both signs will be the same

If the constant term $c$ is negative, what can you say about the signs in the brackets?

Signs will be different (one + one -)

What is the essential method for checking your factorisation?

Expand the brackets back out

When $a \neq 1$ , how do the initial brackets differ from when $a = 1$ ?

Brackets like $(2x \quad )(x \quad )$

When $a \neq 1$ , what strategy should you use to find the factorisation?

Work through factor pairs systematically

When $a \neq 1$ , what type of solutions are you more likely to get?

Fractional solutions

What is the first step when factorising any quadratic?

Rearrange into standard form

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Factorising Quadratics (Edexcel GCSE Maths): Quizzes

Practise the questions

What does factorising a quadratic expression mean?

What is the standard format for a quadratic equation?

When is factorising a quadratic more straightforward?

When a=1a = 1a=1, which two numbers must you find to factorise x2+bx+c=0x^2 + bx + c = 0x2+bx+c=0?

When a=1a = 1a=1, how do you set up the initial brackets?

If the constant term ccc is positive, what can you say about the signs in the brackets?

If the constant term ccc is negative, what can you say about the signs in the brackets?

What is the essential method for checking your factorisation?

When a≠1a \neq 1a=1, how do the initial brackets differ from when a=1a = 1a=1?

When a≠1a \neq 1a=1, what strategy should you use to find the factorisation?

When a≠1a \neq 1a=1, what type of solutions are you more likely to get?

What is the first step when factorising any quadratic?

Explore Edexcel GCSE Maths Revision Notes by Topics

Sequences

Powers and Roots

Algebra Basics

Multiplying Out Brackets

Factorising

Manipulating Surds

Solving quadratic equations

Solving Equations

Rearranging Formulas