Which of the following expressions can divide both the polynomials x³ + 2x² – 5x + 2 and x³ + 4x² + x – 6 exactly? I. x – 1 II. x + 1 III. x + 2 Select the correct answer using the code given below:

Check x = 1 in first poly: 1 + 2 – 5 + 2 = 0 ✓. In second: 1 + 4 + 1 – 6 = 0 ✓. So (x–1) divides both. Check x = –1 in first: –1 + 2 + 5 + 2 = 8 ≠ 0. So (x+1) does not divide. Check x = –2 in first: –8 + 8 + 10 + 2 = 12 ≠ 0. So (x+2) does not divide. Only I divides both.