0580/23 Oct/Nov 2025, Question 28: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (2x² − 11x − 21)/(x² − 49), showing factorisation of numerator and denominator and cancelling common factors.
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Solution · 4 marks
- 12x² − 11x − 21 = 2x² − 14x + 3x − 21 = 2x(x − 7) + 3(x − 7) = (2x + 3)(x − 7)
- 2x² − 49 = (x + 7)(x − 7)
- 3(2x + 3)(x − 7)/((x + 7)(x − 7)) = (2x + 3)/(x + 7)
Answer(2x + 3)/(x + 7)
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Also searched as: 0580/23/O/N/25 · 0580_w25_qp_23 · 0580 w25 23 · question 28.
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