Lesson 13 - Multiplying binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (2x - 5).

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing us to multiply a single term by two or more terms inside a parenthesis.

Front

What is the result of multiplying (x + a)(x + b)?

Back

The result is x² + (a + b)x + ab.

Front

Calculate (x + 7)(x + 9).

Back

x² + 16x + 63.

Front

Calculate (x - 3)(x + 10).

Back

x² + 7x - 30.

Front

Calculate (x + 5)(x + 4).

Back

x² + 9x + 20.

Front

Calculate (x + 12)(x - 12).

Back

x² - 144.

Front

Calculate (x + 2)(x + 3).

Back

x² + 5x + 6.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

Front

What does the term 'like terms' mean?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 3x.