The expression x2 − x + 1 has :

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The expression x² − x + 1 has :

1. one proper linear factor
2. two proper linear factors
3. no proper linear factor
4. None of these

Correct Option: C

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.