Question

Resolve the quadratic trinomials into factors:

7x – 6x² + 20

Answer 1

We have,

7x – 6x² + 20

– 6x² + 7x + 20

6x² – 7x – 20

The coefficient of x² is 6

The coefficient of x is -7

Constant term is -20

So, we express the middle term -7x as -15x + 8x

6x² – 7x – 20 = 6x² – 15x + 8x – 20

= 3x (2x – 5) + 4 (2x – 5)

= (3x + 4) (2x – 5)