Multiplying binomials

Front

What is a binomial?

Back

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

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, standing for First, Outside, Inside, Last, which refers to the order in which you multiply the terms.

Front

Multiply (x - 3)(x + 10). What is the result?

Back

x^2 + 7x - 30.

Front

Multiply (x + 12)(x - 12). What is the result?

Back

x^2 - 144.

Front

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

Back

x^2 + 10x + 21.

Front

Multiply (x + 7)(x + 9). What is the result?

Back

x^2 + 16x + 63.

Front

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

Back

y^2 + 4y - 21.

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 a parenthesis.

Front

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

Back

a^2 - b^2 (This is known as the difference of squares).