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Can you apply foil method for the product of two factors having three or more terms each?
Wiki User
∙ 12y ago
Strictly speaking, no. Because the acronym refers only to the First and Last terms. Even the O and I refer to the first and last in each bracket.
What you need to do is to multiply each term in the first factor by each term in the second factor. It may be helpful to draw a grid to make sure you've got them all. In the following example, I have numbered, in the grid, the position of each term in the answer - you don't need to do that. A tick in the box is good enough.
So
(2x + 3y + 4z)*(5w + 6x + 9z)
3 terms * 3 terms so, before simplification, there must be 9 terms. I start with the first term in the first factor and multiply it by each term in the second factor. Then move to the second term in the first factor. The order does not matter, but doing it systematically means that you should not miss out a product.
10wx + 12x2 + 18xz + 15wy + 18xy + 27yz + 20wz + 24xz + 36z2
There are two xz terms which can be combined.
Grid:
2x 3y 4z
5w 1 4 7
6x 2 5 8
9z 3 6 9
Wiki User
∙ 12y ago
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