Factorize: 2x^2-5/6 x + 1/12

Question

Factorize:

2x²-\(\frac{5}{6}x+\frac{1}{12}\)

Answer 1

Given,

\(2\text{x}^{2}\,-\frac{5}{6}\text{x}\,+\frac{1}{12}\)

= \(2\text{x}^{2}\,-\frac{1}{3}\text{x}\,-\frac{1}{2}\text{x}\,+\frac{1}{12}\)

= \(\text{x}(2\text{x}\,-\frac{1}{3})\,-\frac{1}{4}(2\text{x}\,-\frac{1}{3})\)

= \((2\text{x}\,-\frac{1}{3})(\text{x}\,-\frac{1}{4})\)