4024/12 May/Jun 2025, Question 19: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (3x² − 12)/(2x² + 11x + 14), showing factorisation of numerator and denominator.
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Solution · 4 marks
- 13x² − 12 = 3(x² − 4) = 3(x + 2)(x − 2)
- 22x² + 11x + 14 = (2x + 7)(x + 2)
- 33(x + 2)(x − 2)/((2x + 7)(x + 2)) = 3(x − 2)/(2x + 7)
Answer(3(x−2))/(2x+7) or (3x−6)/(2x+7)
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Also searched as: 4024/12/M/J/25 · 4024_s25_qp_12 · 4024 s25 12 · question 19.
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