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Math and Arithmetic

Algebra

# What is the foil method?

Top Answer

###### Wiki User

###### May 03, 2015 3:48AM

**The FOIL Method** is a process used in algebra to multiply
two binomials.

f= first terms

o= outer terms

i= inner terms

l= last terms

## Related Questions

###### Asked in Algebra

### The foil method is used for?

###### Asked in School Subjects, Definitions, Angel and Venture Capital, Typography

### What is hot foil printing?

Foil printing is to print some pattern with the foil on the
fabric or paper for shinny effect. There are 2 kind of foil
printing method. First, pattern is printed by glue on the fabric or
paper, and then pressed with foil paper by hot steel roller. Second
is printing on the foil paper first, and then press the foil on the
fabric or paper. Of course with hot steel roller or iron. Foil
paper look like cooking foil, but it is called the stamping foil
paper. Actually it is not the paper but the detachable foil film on
the plastic base.

###### Asked in Math and Arithmetic, Algebra

### What is a memory aid to remember how to multiply two binomials?

In elementary algebra, FOIL is a mnemonic for the
standard method of multiplying two binomials-hence the method may
be referred to as the FOIL method. The word FOIL is
an acronym for the four terms of the product:
First ("first" terms of each binomial are multiplied
together)
Outer ("outside" terms are multiplied-that is, the first
term of the first binomial and the second term of the second)
Inner ("inside" terms are multiplied-second term of the
first binomial and first term of the second)
Last ("last" terms of each binomial are multiplied)
The general form is:
Note that is both a "first" term and an "outer" term; is both a
"last" and "inner" term, and so forth. The order of the four terms
in the sum is not important, and need not match the order of the
letters in the word FOIL.
The FOIL method is a special case of a more general method for
multiplying algebraic expressions using the distributive law. The
word FOIL was originally intended solely as a mnemonic for
high-school students learning algebra, but many students and
educators in the United States now use the word "foil" as a verb
meaning "to expand the product of two binomials". This neologism
has not gained widespread acceptance in the mathematical
community.

###### Asked in Math and Arithmetic

### How do you multiply two bionomials?

ONE WORD...FOIL. The FOIL method is a way to multiply binomials.
"FOIL" is an acronym to remember a set of rules to perform this
multiplication. To FOIL you multiply together all of the following:
* F: Firsts * O: Outers * I: Inners * L: Lasts and then you add
each of these products as demonstrated in the examples below. Let's
take two arbitrary binomials. (x+a)(x+b) First: x^2 Outers: bx
Inners: ax Last: ab So the product of these two binomials is
x^2+bx+ax+ab Which we can simplify as x^2+x(a+b)+ab This is NOT the
only way, another way is as below: (x+a)(x+b) Start with the x in
x+a and multiply it by both terms in x+b so we have x^2+xb Now do
the same with the a in x+a and we have ax+ab Add these all together
and you have the same result as you did with the foil method. So
why not just use foil? Why have two methods when one is plenty?
GOOD QUESTION! The second method can be generalized to trinomials
or any other types of polynomial multiplication and the FOIL method
can't be.