CA Foundation P3 · Chapter 2 · Question 8 of 9
One root of x³ − 6x² + 11x − 6 = 0 is 1. The other two roots are:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 2 and 3
Explanation
Dividing by (x − 1) gives x² − 5x + 6 = 0, which factorises as (x − 2)(x − 3) = 0. Hence the other roots are 2 and 3. Check: the sum of all roots 1 + 2 + 3 = 6 equals the negative of the x² coefficient.
