Answer:
x³ - 5x² + 9x - 5
Step-by-step explanation:
If one root is 2 + i, other has to be 2 - i.
So at least 3 roots, minimum degree is 3
(x - 2 - i)(x - 2 + i)(x - 1)
[(x - 2)² - (i)²](x - 1)
(x² - 4x + 4 + 1)(x - 1)
(x² - 4x + 5)(x - 1)
x³ - 4x² + 5x - x² + 4x - 5
x³ - 5x² + 9x - 5
