If a, b and c are the zeros of the cubic polynomial 2x^3 - x^2 - 2x + 1, find the value of ab + bc + ca.
- 2
- -1
- 0
- +1
Show answer and solution
Correct answer: B. -1
1. For ax^3 + bx^2 + cx + d, the sum of products of zeros taken two at a time = c/a.
2. Here c = -2 and a = 2.
3. So ab + bc + ca = -2 / 2 = -1.
_Source: RRB Group D CEN-02/2018 PYQ, Q.84._