Algebra 1 Multiply Monomials by Polynomials

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 (e.g., 5x, -3, 2xy).

Front

What is a binomial?

Back

A binomial is an algebraic expression that consists of two terms separated by a plus or minus sign (e.g., 2x + 3, 5y - 4).

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of one or more terms, which can include constants, variables, and non-negative integer exponents (e.g., 3x^2 + 2x - 1).

Front

How do you multiply a monomial by a polynomial?

Back

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

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify: -6x - 5(10x + 3)

Back

-56x - 15.

Front

Classify by number of terms: 2x - 9

Back

Binomial.

Front

Simplify: 3ab(5a^2 - a - 2) + 2a(b + 1)

Back

15a^3b - 3a^2b - 4ab + 2a.

Front

Simplify: 5x(4x^3 + 8) - 4x

Back

20x^4 + 36x.

Front

What is a trinomial?

Back

A trinomial is an algebraic expression that consists of three terms (e.g., x^2 + 5x + 6).