Factorise: $4 x^{2} - x + 2$ . Elaborate the steps.

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Solution

The equation is not factorisable as its
Discriminant $(D = b^{2} - 4 a c)$ is $< 0$
$D = b^{2} - 4 a c = (- 1)^{2} - 4 (4) (2) = 1 - 32 < 0$
$\Rightarrow$ it doesn't have real roots
$\Rightarrow$ it doesn't has any factor.

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