Multiplying Binomials

Front

What is a binomial?

Back

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

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to combine two binomials into a single polynomial.

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

Multiply: (3x – 1)(x + 5)

Back

3x² + 14x - 5

Front

Multiply: (3x + 2)(2x + 4)

Back

6x² + 16x + 8

Front

Multiply: (x + 12)(x - 12)

Back

x² - 144

Front

Multiply: (x - 9)(x - 7)

Back

x² - 16x + 63

Front

Multiply: (x + 5)(x - 4)

Back

x² + 1x - 20

Front

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

Back

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

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.