Multiplying Monomials and 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 algebraic expression that consists of one or more terms, where each term is a product of a constant and a variable raised to a non-negative integer power.

Front

How do you multiply two monomials?

Back

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

Tags

CCSS.HSA.APR.A.1

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.

Tags

CCSS.6.EE.A.3

Front

What is the result of multiplying x by (x + 4)?

Back

The result is x^2 + 4x.

Tags

CCSS.HSA.APR.A.1

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, use the distributive property to multiply the monomial by each term in the polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying 5x by (4x^3 + 8)?

Back

The result is 20x^4 + 40x.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of multiplying 4m by (3m^7 + 2m^5)?

Back

The result is 12m^8 + 8m^6.

Tags

CCSS.HSA.APR.A.1

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is a coefficient in a polynomial?

Back

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

Tags

CCSS.6.EE.A.2B