2.3 Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 2) or (3x - 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 area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

What is the formula for the area of a rectangle with length (x + 2) and width (3x + 7)?

Back

Area = (x + 2)(3x + 7) = 3x² + 13x + 14 square units.

Front

What is the product of (n - 5)(n - 1)?

Back

The product is n² - 6n + 5.

Front

How do you expand the product (x + 3)(x + 6)?

Back

Expand using the distributive property: x² + 9x + 18.

Front

What is the product of (2n + 3)(2n + 1)?

Back

The product is 4n² + 8n + 3.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that (a + b)(a - b) = a² - b².

Front

What is the product of (r + 7)(r - 7)?

Back

The product is r² - 49.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last; a method for multiplying two binomials.