Multiplying Binomials and Monomials

Front

What is a binomial?

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 4x or -7y^2.

Front

What does it mean to multiply a binomial by a monomial?

Back

To multiply a binomial by a monomial, distribute the monomial to each term in the binomial.

Front

Simplify: 3x^3(2x^2 + 9x + 6)

Back

6x^5 + 27x^4 + 18x^3

Front

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

Back

n^2 - 6n + 5

Front

What is the formula for squaring a binomial?

Back

(a + b)^2 = a^2 + 2ab + b^2.

Front

Simplify: (p - 8)^2

Back

p^2 - 16p + 64

Front

Find the product: (3x - 4)(2x + 5)

Back

6x^2 + 7x - 20

Front

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

Back

n^2 + 4n - 5

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.