CAPE Pure Mathematics Unit 1 · May/June 2011 · Paper 1 · Question Q10

Which of the following is true if \alpha, \beta and \gamma are roots of the cubic equation 3x^3 - 4x^2 - 7x - 10 = 0?

1. (A)\alpha + \beta + \gamma = \frac{4}{3}, \alpha\beta + \beta\gamma + \gamma\alpha = \frac{-7}{3}
2. (B)\alpha + \beta + \gamma = \frac{-3}{4}, \alpha\beta + \beta\gamma + \gamma\alpha = \frac{-7}{3}
3. (C)\alpha + \beta + \gamma = \frac{3}{4}, \alpha\beta + \beta\gamma + \gamma\alpha = \frac{7}{3}
4. (D)\alpha + \beta + \gamma = \frac{4}{3}, \alpha\beta + \beta\gamma + \gamma\alpha = \frac{7}{3}