Learn Before
Multiplying Using the FOIL Method
Multiply using the FOIL method.
Step 1 — First: Multiply the first terms: .
Step 2 — Outer: Multiply the outermost terms: .
Step 3 — Inner: Multiply the innermost terms: .
Step 4 — Last: Multiply the last terms: .
Writing all four products in order gives:
Step 5 — Combine like terms: The Outer and Inner products and are like terms: .
The simplified result is .
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax
Algebra
Related
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Binomial Squares Pattern
Product of Conjugates Pattern
As a project estimator calculating material requirements, you use the FOIL method to expand algebraic expressions. Match each letter of the FOIL mnemonic to the specific pair of terms it directs you to multiply.
A retail manager is using a shortcut to multiply two algebraic expressions representing price and quantity. The FOIL method is a mnemonic that can only be used when both of these expressions are ____.
A production manager uses the FOIL method to calculate the total cost of a manufacturing run where both the quantity and the unit price are expressed as binomials. Arrange the following steps in the correct sequence according to the FOIL mnemonic.
A cost estimator is reviewing a financial model where the total expense is calculated using the FOIL method to multiply two binomial expressions. Which of the following statements correctly describes the mathematical relationship between the FOIL shortcut and standard algebraic multiplication?
Completing the FOIL Procedure
A facility manager is calculating the area of a new storage zone with dimensions represented by the binomials (w + 6) and (h - 2). True or False: In this multi-variable expansion, the manager will need to combine the 'Outer' and 'Inner' products to simplify the final area expression.
Warehouse Space Optimization
Technical Documentation: The FOIL Procedure
A logistics coordinator is expanding a pricing model represented by the expression , where is the base price and is the delivery distance. According to the FOIL mnemonic, which specific multiplication represents the Inner (I) product of this expansion?
A data analyst is using the FOIL method to expand a growth model represented by the expression . According to the FOIL method documentation, because both binomials involve the same single variable (), the final simplified expression will typically be which type of polynomial?
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Multiplying Using the FOIL Method
Simplifying and
Learn After
In a technical drafting project, you are using the expression to calculate dimensions. To expand this expression correctly, you must follow the FOIL method. Match each part of the FOIL mnemonic to the specific calculation and result it represents for this expression.
A project manager is calculating the projected revenue for a new service line using the expression . To find the standard quadratic form of this model, the manager uses the FOIL method. Arrange the following intermediate products and the final result in the correct order as they are generated and simplified during the expansion process.
A project coordinator is using the algebraic expression to model the dimensions of a new storage facility. When expanding this expression using the FOIL method, which term is the result of the 'Outer' multiplication step?
A facilities coordinator is calculating the area of a rectangular storage bay represented by the expression . When expanding this expression using the FOIL method, the 'Inner' multiplication step (multiplying 7 and ) results in .
As an inventory management trainee, you are analyzing a warehouse capacity formula modeled by the binomial expression . To complete the polynomial expansion using the FOIL method, you must determine the product of the 'Last' terms, which results in the constant ____.