Multiplying Binomials

Front

What is a binomial?

Back

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

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

Calculate the product: (x - 1)(x - 8)

Back

x^2 - 9x + 8

Front

Calculate the product: (5x - 1)(x + 1)

Back

5x^2 + 4x - 1

Front

Calculate the product: (2n + 3)(2n + 1)

Back

4n^2 + 8n + 3

Front

Calculate the product: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

Calculate the product: (x + 5)^2

Back

x^2 + 10x + 25

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 a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.