Question

Multiply the binomials. $(x+11)(x+8)$

   Multiply the binomials.
$(x+11)(x+8)$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 15

Instant Answer

Solved by Expert Katelyn Vandeaver

07/14/2021

Step 1

Step 1: Identify the binomials to be multiplied, which are \( (x + 11) \) and \( (x + 8) \). Show more…

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Multiply the binomials. $(x+11)(x+8)$

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Key Concepts

Binomials

A binomial is a polynomial with two terms, typically expressed in the form (ax + b). They are fundamental building blocks in algebra used to represent expressions with two distinct parts, and understanding them is key when performing operations like addition, subtraction, and multiplication of polynomials.

Distributive Property

The distributive property is a fundamental algebraic property that allows you to multiply a single term by each term within a parenthesis. This property is essential when multiplying binomials, as it ensures that every term in the first binomial is multiplied by every term in the second binomial.

FOIL Method

The FOIL method is a specific application of the distributive property for multiplying two binomials. FOIL stands for First, Outer, Inner, Last, representing the order in which terms are multiplied. This method helps in organizing the multiplication process to combine like terms effectively and obtain the correct expanded form.

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