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Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A designer models the area of a rectangular poster by A(x)=x2+5x+6A(x)=x^2+5x+6, where the side lengths are linear expressions in xx.
Total: 4 marks

(a) Factorise A(x)A(x). (1 mark)

(b) Find the zeroes of A(x)A(x). (1 mark)

(c) Explain why the zeroes are algebraic information, not possible poster dimensions in this context. (2 marks)

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cbse-math-10.u2.t2-1.case.005

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