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 find the product of two binomials.

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 formula for multiplying two binomials (a + b)(c + d)?

Back

(a + b)(c + d) = ac + ad + bc + bd.

Front

Find the product: (3x – 1)(x + 5)

Back

3x² + 14x - 5.

Front

Find the product: (2x + 3)(2x - 3)

Back

4x² - 9.

Front

Find the product: (x + 7)(x - 2)

Back

x² + 5x - 14.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

Find the product: (x + 5)²

Back

x² + 10x + 25.

Front

Find the product: (3p - 3)(p - 1)

Back

3p² - 6p + 3.