Find H.C.F and L.C.M of $2 x^{2} - 3 x - 2$ , $(x - 2) (x + 1)$ .

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Solution

Let $f (x) =$ $2 x^{2} - 3 x - 2$
$g (x) =$ $(x - 2) (x + 1)$
Factor of $2 x^{2} - 3 x - 2 = (2 x + 1) (x - 2)$
So, H.C.F $=$ $(x - 2)$
L.C.M $=$ $(x - 2) (2 x + 1) (x + 1)$

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