Maths with David

    9231. FP1. Roots of Polynomial. Past Exam Questions

    1. November 2025 (9231/12). Question 2
      • The cubic equation x3 + bx2 + cx + d = 0, where b, c and d are constants, has roots \alpha , \beta and \gamma . It is given that:
      • \alpha + \beta + \gamma = 2
      • \alpha ^2 + \beta ^2 + \gamma ^2 = 3
      • \alpha ^4 + \beta ^4 + \gamma ^4 = 5
        • (a) Find the values of b and c. [3 marks]
        • (b) Find the value of d. [5 marks]