Game Development Reference
In-Depth Information
Figure 8.4
A set of rectangles allows you to visualize the FOIL approach.
As an example of the application of the FOIL technique of multiplying binomials,
consider this problem:
ðm þ
4
Þðm
2
þ
9
Þ
F
O
I
L
¼ mðm
2
Þþmð
9
Þþ
4
ðm
2
Þþ
4
ð
9
Þ
¼ m
3
þ
9
m þ
4
m
2
þ
36
Figure 8.4 illustrates the relationships that exist between the values generated
using the FOIL approach and the areas of a rectangle that represent the
values.
Polynomial Multiplication
When you explore multiplication of polynomials consisting of trinomial
expressions, the process does not vary from those of other types of polynomial
multiplications, but they do become more involved. Here is a multiplication
