Multiplying Binomials

Front

What is a binomial?

Back

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

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to expand the product of two binomials, resulting in a polynomial.

Front

What is the Box Method for multiplying binomials?

Back

The Box Method is a visual representation that uses a grid to organize the multiplication of each term in the binomials.

Front

What is the first step in the Box Method?

Back

Draw a box divided into sections based on the number of terms in each binomial.

Front

When multiplying (x + 6)(x + 7), what is the product of the first terms?

Back

Front

What is the product of the outer terms in (x + 6)(x + 7)?

Back

The product of the outer terms is 6x.

Front

What is the product of the inner terms in (x + 6)(x + 7)?

Back

The product of the inner terms is 7x.

Front

What is the product of the last terms in (x + 6)(x + 7)?

Back

The product of the last terms is 42.

Front

How do you combine like terms after using the Box Method?

Back

Add the coefficients of the like terms together to simplify the expression.

Front

What is the expanded form of (x + 3)(x + 6)?

Back