Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as (x + 3) or (2x - 5).

Front

What does the Box Method involve?

Back

The Box Method involves creating a grid to organize the multiplication of two binomials, allowing for easier calculation of each term.

Front

Multiply using the Box Method: (2x + 1)(x - 3)

Back

2x² - 5x - 3.

Front

What is the FOIL Method?

Back

The FOIL Method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

Front

Simplify: (x - 9)(x - 7)

Back

x² - 16x + 63.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing for the multiplication of a single term by a sum.

Front

Find the product: (x + 5)(x - 4)

Back

x² + 1x - 20.

Front

What is the result of multiplying (a + b)(a - b)?

Back

The result is a² - b², known as the difference of squares.

Front

What is the purpose of simplifying expressions?

Back

Simplifying expressions makes them easier to work with and understand, often revealing underlying patterns.

Front

What does it mean to factor a binomial?

Back

Factoring a binomial means expressing it as a product of simpler binomials or monomials.