Resolve quadratic trinomials into factors: 7x2 – 19x – 6

We have,

7x² – 19x – 6

The coefficient of x² is 7

The coefficient of x is -19

Constant term is -6

So, we express the middle term -19x as 2x – 21x

7x² – 19x – 6 = 7x² + 2x – 21x – 6

= x (7x + 2) – 3 (7x + 2)

= (7x + 2) (x – 3)