Multiply:  x2 - 3x + 2 x - 4

Strategy:
Multiply EVERY term above by EACH term below
Arrange these products in columns by degree.
Add the coefficients in each column.

Multiply:  x2 - 3x + 2 x - 4 -4x2 + 12x - 8 x3 - 3x2 +   2x      x3 - 7x2 + 14x - 8

Answer is: x3 -  7x2 + 14x - 8