The expression x2 − x + 1 has :

According to question , we have
Comparing x² - x + 1 with ax² + bx + c , we get
a = 1, b = −1, c = 1
Here D = b² - 4ac = ( - 1 )² - 4 (1)(1)
= 1 - 4 = - 3
Since D < 0, so the given expression has no proper linear factor.