Multiplying monomials/polynomials

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 raised to non-negative integer powers.

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add the exponents of like variables.

Front

What is the product of 6m^3 and 8m^2?

Back

48m^5.

Front

What is the product of 3u^4v^5 and 7u^2v^3?

Back

21u^6v^8.

Front

How do you multiply a monomial by a polynomial?

Back

Distribute the monomial to each term of the polynomial, multiplying as you go.

Front

What is the result of 3a(5a^2 + 8a + 2)?

Back

15a^3 + 24a^2 + 6a.

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 polynomial.

Front

What is the product of -2x^2 and (-6x + 5)?

Back

12x^3 - 10x^2.

Front

What happens when you multiply two variables with the same base?

Back

You add their exponents.