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Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 01 QP & MS June 2024

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The cubic equation 2x3 − 3x2 + 5x + 7 = 0 has roots α, β and γ. Without solving the equation, determine the exact value of (i) α2 + β2 + γ2 3 3 3 (3) (ii) α + β + γ (3) (iii) (5 – α)(5 – β)(5 – γ) 2 (3) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN

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Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 01 QP & MS
June 2024

, Further Mathematics
■ ■


Advanced Subsidiary
PAPER 1: Core Pure Mathematics




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P 74069A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/1/

,1. The cubic equation

2x3 − 3x2 + 5x + 7 = 0




DO NOT WRITE IN THIS AREA
has roots α, β and γ.

Without solving the equation, determine the exact value of

(i) α2 + β 2 + γ2
(3)
3 3 3
(ii) + +
α β γ
(3)

(iii) (5 – α)(5 – β )(5 – γ)
(3)




DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA




2
■■■■

,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




■■■■
Question 1 continued




3
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