Multiplying Binomials and Monomials

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 is a monomial?

Back

A monomial is a polynomial that contains only one term, such as 5x or 3y^2.

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property or FOIL method to find the product of two binomials.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last. It is a method used to multiply two binomials.

Front

Multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

Multiply: (a + b)(a - b)

Back

a^2 - b^2 (Difference of squares)

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 multiple terms.

Front

Multiply: (2x + 3)(4x + 5)

Back

8x^2 + 22x + 15

Front

What is the result of (p - 4)(p + 4)?

Back

p^2 - 16 (Difference of squares)

Front

Multiply: (3x - 1)(2x + 5)

Back

6x^2 + 13x - 5