The expression x^2-x+1 has: | vedclass

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(C) Comparing $x^2-x+1$ with the general quadratic form $ax^2+bx+c$,we have $a=1$,$b=-1$,and $c=1$.The discriminant $D$ is calculated as $D = b^2 - 4a

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no proper linear factor

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(C) Comparing $x^2-x+1$ with the general quadratic form $ax^2+bx+c$,we have $a=1$,$b=-1$,and $c=1$.The discriminant $D$ is calculated as $D = b^2 - 4ac$.Substituting the values,$D = (-1)^2 - 4(1)(1) = 1 - 4 = -3$.Since the discriminant $D < 0$,the quadratic expression has no real roots and therefore has no proper linear factors over the set of real numbers.

The expression $x^2-x+1$ has:

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