Expand the following:
(x + 2) (x - 6) (x + 9)
Hint: | Multiply x - 6 and x + 9 together using FOIL.
(x - 6) (x + 9) = (x) (x) + (x) (9) + (-6) (x) + (-6) (9) = x^2 + 9 x - 6 x - 54 = x^2 + 3 x - 54:
x^2 + 3 x - 54 (x + 2)
Hint: | Multiply out (x + 2) (x^2 + 3 x - 54).
| | | | x | + | 2
| | x^2 | + | 3 x | - | 54
| | | | -54 x | - | 108
| | 3 x^2 | + | 6 x | + | 0
x^3 | + | 2 x^2 | + | 0 x | + | 0
x^3 | + | 5 x^2 | - | 48 x | - | 108:
x^3 + 5 x^2 - 48 x - 108
