Multiplying Monomials and Binomials

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables.

Front

What is a binomial?

Back

A binomial is an algebraic expression that consists of two terms separated by a plus or minus sign.

Front

What is a trinomial?

Back

A trinomial is an algebraic expression that consists of three terms.

Front

How do you multiply monomials?

Back

To multiply monomials, multiply their coefficients and add their exponents for like bases.

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 binomial or polynomial.

Front

What is the result of multiplying 5xy(6x - y)?

Back

The result is 30x²y - 5xy².

Front

When multiplying polynomials, what do you do with the exponents?

Back

When multiplying polynomials, you add the exponents of like bases.

Front

What is the result of simplifying 3x³(2x² + 9x + 6)?

Back

The result is 6x⁵ + 27x⁴ + 18x³.

Front

What is the result of simplifying 2x²(x + 5)?

Back

The result is 2x³ + 10x².

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.