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 quadratics mean?

Writing as product of two brackets

To factorise $x^2 + bx + c$ , find two numbers that add to $b$ and do what to get $c$ ?

Multiply together

If $b$ is negative and $c$ is positive, what can you say about both numbers in the brackets?

Both numbers are negative

If the constant term $c$ is negative, what does this tell you about the signs in brackets?

One + sign and one - sign

What is $x^2 - x - 20$ factorised?

$(x + 4)(x - 5)$

What is the rule for the difference of two squares $a^2 - b^2$ ?

$a^2 - b^2 = (a + b)(a - b)$

For difference of two squares, what sign must be between the terms?

A minus sign

What is $x^2 - 9$ factorised?

$(x + 3)(x - 3)$

How many terms are in a difference of two squares expression?

Only two terms

How should you always check your factorisation is correct?

Expand the brackets

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Factorising quadratics (Edexcel GCSE Maths): Quizzes

Practise the questions

What does factorising quadratics mean?

To factorise x2+bx+cx^2 + bx + cx2+bx+c, find two numbers that add to bbb and do what to get ccc?

If bbb is negative and ccc is positive, what can you say about both numbers in the brackets?

If the constant term ccc is negative, what does this tell you about the signs in brackets?

What is x2−x−20x^2 - x - 20x2−x−20 factorised?

What is the rule for the difference of two squares a2−b2a^2 - b^2a2−b2?

For difference of two squares, what sign must be between the terms?

What is x2−9x^2 - 9x2−9 factorised?

How many terms are in a difference of two squares expression?

How should you always check your factorisation is correct?

Explore Edexcel GCSE Maths Revision Notes by Topics

Collecting like terms

Simplifying expressions

Algebraic indices

Substitution

Formulae

Writing formulae

Expanding brackets

Factorising

Linear equations 1

Linear equations 2

Inequalities

Solving inequalities

Sequences 1

Sequences 2

Coordinates

Gradients of lines

Linear equations 1

Linear equations 2

Inequalities

Solving inequalities

Sequences 1

Sequences 2

Coordinates

Gradients of lines

Straight-line graphs 1

Straight-line graphs 2

Real-life graphs

Distance-time graphs

Rates of change

Expanding double brackets

Quadratic graphs

Using quadratic graphs

Factorising quadratics

Quadratic equations

Cubic and reciprocal graphs

Simultaneous equations

Rearranging formulae

Using algebra

Identities

Explore Edexcel GCSE Maths Model Answers by Topics

Collecting like terms

Simplifying expressions

Algebraic indices

Substitution

Formulae

Writing formulae

Expanding brackets

Factorising

Linear equations 1

Linear equations 2

Inequalities

Solving inequalities

Sequences 1

Sequences 2

Coordinates

Gradients of lines

Linear equations 1

Linear equations 2

Inequalities

Solving inequalities

Sequences 1

Sequences 2

Coordinates

Gradients of lines

Straight-line graphs 1

Straight-line graphs 2

Real-life graphs

To factorise $x^2 + bx + c$ , find two numbers that add to $b$ and do what to get $c$ ?

If $b$ is negative and $c$ is positive, what can you say about both numbers in the brackets?

If the constant term $c$ is negative, what does this tell you about the signs in brackets?

What is $x^2 - x - 20$ factorised?

What is the rule for the difference of two squares $a^2 - b^2$ ?

What is $x^2 - 9$ factorised?