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
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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)
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DO NOT WRITE IN THIS AREA
2
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,
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Question 1 continued
3
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June 2024
, Further Mathematics
■ ■
Advanced Subsidiary
PAPER 1: Core Pure Mathematics
Turn over
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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