Multiplying binomials

Front

What is a binomial?

Back

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

Back

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

Front

Multiply: (x + 5)(x + 2)

Back

x² + 7x + 10

Front

Multiply: (a + b)(a - b)

Back

a² - b² (Difference of squares)

Front

Multiply: (x + 1)(x + 4)

Back

x² + 5x + 4

Front

Multiply: (2x - 3)(x + 5)

Back

2x² + 7x - 15

Front

What is the result of (x + 7)(x + 9)?

Back

x² + 16x + 63

Front

What is the result of (x + 12)(x - 12)?

Back

x² - 144 (Difference of squares)

Front

Multiply: (r + 2)(r - 8)

Back

r² - 6r - 16