Multiplying Binomials

Front

What is a binomial?

Back

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

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using methods like the distributive property or box method to find the product of two binomials.

Front

What is the box method for multiplying binomials?

Back

The box method involves creating a grid to organize the multiplication of each term in the binomials.

Front

Multiply the binomials (2x + 1)(x - 3). What is the result?

Back

The result is 2x^2 - 5x - 3.

Front

What expression goes in the missing box for the multiplication of (x + 2)(x + 3)?

Back

The expression is 7x.

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent combination, such as 3x^2 and 5x^2.

Front

Simplify: 3x(x + 7). What is the result?

Back

The result is 3x^2 + 21x.

Front

What is the first step in the box method for (x + 2)(x + 3)?

Back

Draw a 2x2 grid and label the rows and columns with the terms from each binomial.

Front

What do you do with the terms in the box method after filling in the boxes?

Back

You combine like terms to simplify the expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a term by each term in a sum.