FOIL METHOD

FOIL Method

Definition Of FOIL Method

FOIL Method is a method used to find the product of two binomials.
FOIL Method states that the product of two binomials is the sum of the products
of the First terms, the Outer terms, the Inner terms, and the Last terms.

Video Examples: Algebra 1: FOIL method of Multiplying Binomials

Example of FOIL Method

Consider the binomial (5a + 2) and (7a + 4). The product of these two binomials is given by:
First Outer Inner Last
(5a + 2)(7a + 4) = 5a . 7a + 5a . 4 + 2 . 7a + 2 . 4
= 35a² + 34a + 8

Solved Example on FOIL Method

Ques: TFind y = (3x + 2)(x - 5) using FOIL method.

Choices:

A. 3x² - 13x - 10
B. 3x² + 13x - 10
C. 3x² - 13x + 10
D. 3x² - 13x - 13
Correct Answer: A

Solution:

Step 1:

example of FOIL Method

Step 2: = 3x . x + 3x . (- 5) + 2 . x + 2 . (- 5)
Step 3: = 3x² - 13x - 10

Quick Summary

Multiply the First terms
Multiply the Outer terms
Multiply the Inner terms
Multiply the Last terms
Add the results

\[ (a + b)(c + d) = ac + ad + bc + bd \]

🍎 Teacher Insights

Emphasize the distributive property as the foundation for the FOIL method. Use visual aids to show the distribution of terms.

🎓 Prerequisites

Basic Algebra
Binomials
Distributive Property

Check Your Knowledge

Q1: What is the product of (x + 2)(x - 3) using the FOIL method?

A. x^2 - x - 6 B. x^2 + x - 6 C. x^2 - x + 6 D. x^2 + x + 6

Q2: What is the product of (2x + 1)(x + 4) using the FOIL method?

A. 2x^2 + 9x + 4 B. 2x^2 + 7x + 4 C. 2x^2 + 6x + 4 D. 2x^2 + 10x + 4

Frequently Asked Questions

Q: What does FOIL stand for?
A: FOIL stands for First, Outer, Inner, Last, which represents the order of multiplying terms in two binomials.

Q: When can I use the FOIL method?
A: The FOIL method is specifically used when multiplying two binomials.