Multiplying Binomials

Front

What is a binomial?

Back

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

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property or the FOIL method to find the product of two binomials.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last. It is a method used to multiply two binomials by multiplying the terms in these four combinations.

Front

Find the product: (y - 3)(y + 7)

Back

y² + 4y - 21

Front

Find the area of a rectangle with length (x + 2) and width (3x + 7).

Back

3x² + 13x + 14

Front

Find the product: (2x + 3)(2x - 3)

Back

4x² - 9

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

Find the product: (x + 5)²

Back

x² + 10x + 25

Front

Write the expanded form of (x + 3)(x + 6).

Back

x² + 9x + 18

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.