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 is the FOIL method used for?

Back

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

Front

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

Back

y² + 4y - 21

Front

Simplify: (x - 7)²

Back

x² - 14x + 49

Front

Simplify: (x - 7)(x + 7)

Back

x² - 49

Front

Find the product: (n - 5)(n - 1)

Back

n² - 6n + 5

Front

Multiply: (3x - 1)(x + 5)

Back

3x² + 14x - 5

Front

What is the result of multiplying two binomials?

Back

The result is a polynomial, which can be a trinomial or a binomial, depending on the terms.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the difference between a binomial and a trinomial?

Back

A binomial has two terms, while a trinomial has three terms.