(x + a)(x + b): Challenge & Extension
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on expanding (x + a)(x + b) with challenge and extension questions to deepen understanding.
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(x + a)(x + b): Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand (x + 3)(x + 5) using the FOIL method.
[2 marks]2.
Calculate the expansion of (x + 7)(x + 2).
[2 marks]3.
Expand (x + 1)(x + 1).
[2 marks]4.
If (x + a)(x + b) = x^2 + 5x + 6, find the values of a and b.
[3 marks]5.
Construct the expansion of (x + 4)(x + 6).
[2 marks]6.
Expand (x - 3)(x + 5).
[2 marks]7.
Solve for x if (x + 2)(x + 4) = 0.
[2 marks]8.
Expand (x + a)(x + b) where a = 2 and b = -3.
[2 marks]9.
The expansion of (x + 8)(x + 2) results in what quadratic?
[2 marks]10.
Expand (x + 5)(x + 9) and then verify by multiplication.
[3 marks]11.
Identify and correct the mistake in expanding (x + 3)(x - 4) as x^2 - 12.
[3 marks]12.
Challenge: For which values of a and b does (x + a)(x + b) = x^2 + 7x + 10?
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet