= - 2x² + 7x – 6

Here, coefficient of x² = -2, coefficient of x = 7and constant term = -6

We shall now split up the coefficient of x i.e., 7 into two parts whose sum is 7 and product is -2 * -6 = 12

Clearly,

4 + 3 = 7 and,

4 * 3 = 12

So, we write middle term 7x as 4x + 3x

Thus, we have

-2x² + 7x – 6 = -2x² + 4x + 3x – 6

= -2x (x – 2) + 3 (x – 2)

= (x – 2) (3 – 2x)