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 expand the product of two binomials, resulting in a polynomial.

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 each term in a binomial.

Front

Find the product: (3x – 1)(x + 5)

Back

3x² + 14x - 5

Front

Find the product: (x + 5)(x - 4)

Back

x² + 1x - 20

Front

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

Back

n² - 6n + 5

Front

What is the area of a rectangle with length (x + 2) and width (3x + 7)?

Back

3x² + 13x + 14 square units

Front

Find the product: (x - 9)(x - 7)

Back

x² - 16x + 63

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 are the 'First' terms in the FOIL method?

Back

The 'First' terms are the first terms of each binomial that you multiply together.