Question

$factorize \\ 2x ^{2} - \frac{5}{6}x + \frac{1}{12}$
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Answer 1

First we want integer coefficient.

Multiply by 12. This will remove all fractions.

We have $24x^2-10x+1$

Now, use splitting the middle term factorization.

$24x^2-4x-6x+1$

$4x\times 6x-4x-6x+1$

We have $(4x-1)(6x-1)$

Don't forget we multiplied by 12. This is not a correct answer.

Divide by 12.

$\frac{1}{12} (4x-1)(6x-1)$ will be the correct answer.