Multiplying Binomials

Front

What is a binomial?

Back

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

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to expand the product of two binomials into a polynomial.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, which stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Front

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

Back

x² + 5x + 6

Front

Find the product: (x - 1)(x + 4)

Back

x² + 3x - 4

Front

Find the product: (x + 6)(x - 3)

Back

x² + 3x - 18

Front

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

Back

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

Front

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

Back

x² - 25

Front

What is the area of a rectangle represented by (x + 2)(x + 3)?

Back

The area is x² + 5x + 6.

Front

Find the product: (2x + 3)(x - 4)

Back

2x² - 5x - 12