Multiplying binomials

Front

What is a binomial?

Back

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

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 (x + 2)(x + 5). What is the result?

Back

x² + 7x + 10.

Front

Multiply (x - 1)(x + 4). What is the result?

Back

x² + 3x - 4.

Front

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

Back

a² - b² (Difference of squares).

Front

Multiply (x + 3)(x + 7). What is the result?

Back

x² + 10x + 21.

Front

Multiply (x + 5)(x + 4). What is the result?

Back

x² + 9x + 20.

Front

Multiply (y - 3)(y + 7). What is the result?

Back

y² + 4y - 21.

Front

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

Back

x² + 16x + 63.