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Pearson Edexcel IAL Mathematics FP1.2.1 Sum of roots & product of roots

Practise reading α+β and αβ directly from quadratic coefficients, including parameter cases and reciprocal-root forms.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • write α+β and αβ from ax²+bx+c=0 using the coefficient signs correctly

FP1.2.1 - Sum of roots and product of roots question 1

[Maximum number: 1]

The quadratic equation

2x23x+7=02 x^{2}-3 x+7=0

has roots α\alpha and β\beta
Without solving the equation,

write down the value of (α+β)(\alpha+\beta) and the value of αβ\alpha \beta

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