Use the box method to distribute and simplify (- 3x ^ 2 + 2x - 6)(- 2x - 4)

The box is
3 rows and 2 columns ok

The box representing the multiplication of (-3x^2 + 2x - 6) and (-2x - 4) would have 3 rows and 2 columns.

-3x^2 +2x -6
________________________
-2x |-6x^3 +4x^2 +12x
| -4x +8
--------------------------
+6x^3 -4x^2 -12x
-12x^2 +8x +24

To simplify, we add the terms in each column:

Final answer:
6x^3 - 16x^2 - 4x - 6