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, 5, -2xy).

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 + 2, 3x - 5).

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. For example, (3x)(x + 2) = 3x^2 + 6x.

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: (x + 2)(x + 3)

Back

x^2 + 5x + 6.

Front

Multiply: (4x)(2x^2)

Back

8x^3.

Front

Multiply: (x + 7)(x + 9)

Back

x^2 + 16x + 63.

Front

Multiply: (3x - 1)(x + 5)

Back

3x^2 + 14x - 5.

Front

Multiply: (x - 3)(x + 10)

Back

x^2 + 7x - 30.

Front

What is the result of multiplying two binomials?

Back

The result is a polynomial that can have up to four terms, depending on the binomials being multiplied.