4024/11 Oct/Nov 2024, Question 24: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Simplify the algebraic fraction (2x² + 5x − 3)/(2x² + 6x), showing factorisation of numerator and denominator. (3 marks)
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Solution · 3 marks
- 12x² + 5x − 3 = (2x − 1)(x + 3)
- 22x² + 6x = 2x(x + 3)
- 3= (2x − 1)/(2x)
Answer(2x − 1)/(2x) or 1 − 1/(2x)
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