4024/23 May/Jun 2026, Question 23: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 5 marks
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The question, in short
Simplify the algebraic fraction (3x² − 11x − 4)/(2x² − 32), showing the factorisation and cancellation needed to reach the simplest form.
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Solution · 5 marks
- 13x² − 11x − 4 = (3x + 1)(x − 4)
- 22x² − 32 = 2(x² − 16) = 2(x + 4)(x − 4)
- 3Cancel (x − 4)
- 4= (3x + 1)/(2(x + 4))
Answer(3x + 1)/(2(x + 4)) or (3x + 1)/(2x + 8)
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Also searched as: 4024/23/M/J/26 · 4024_s26_qp_23 · 4024 s26 23 · question 23.
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