FOIL

Definition

FOIL is a method used for multiplying two binomials. It stands for First, Outer, Inner, Last, which are the steps involved in the multiplication process.

5 Must Know Facts For Your Next Test

1. FOIL is specifically used to multiply two binomials.
2. The acronym FOIL stands for First, Outer, Inner, Last.
3. First refers to multiplying the first terms in each binomial.
4. Outer refers to multiplying the outer terms in each binomial.
5. Inner refers to multiplying the inner terms in each binomial.

Review Questions

• What does each letter in FOIL stand for?
• Can FOIL be used to multiply any polynomials or just binomials?
• How do you apply the FOIL method to $(x + 3)(x + 2)$?

Related terms

Binomial:

A polynomial with exactly two terms.

Polynomial:

An algebraic expression consisting of variables and coefficients combined using addition, subtraction, and multiplication.

Distributive Property:

\(a(b + c) = ab + ac\), a property that is foundational for understanding how FOIL works.