Multiplying Monomials and Binomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables (e.g., 3x^2, -5, 7xy).

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, which can be separated by a plus or minus sign (e.g., x + 5, 3x^2 - 2x).

Front

How do you multiply a monomial by a binomial?

Back

To multiply a monomial by a binomial, distribute the monomial to each term in the binomial and combine like terms if necessary.

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 sum.

Front

Multiply: 2x^2(x + 5)

Back

2x^3 + 10x^2.

Front

Multiply: (2x)(3x)

Back

6x^2.

Front

Multiply: (2x^2)(5x)

Back

10x^3.

Front

Simplify: 10(x - 2)

Back

10x - 20.

Front

Simplify: 2(x + 3)

Back

2x + 6.

Front

What is the result of multiplying two monomials?

Back

The result is a monomial, where you multiply the coefficients and add the exponents of like bases.