# How do you multiply polynomials by Monomials?

**polynomial**is a

**monomial**,

**multiplying polynomials**becomes

**multiplying monomials**. When

**multiplying monomials**, use the product rule for exponents. The factors are regrouped, and then

**multiplied**. Notice the product rule for exponents at work [when the bases are the same, add the exponents].

Likewise, how is the distributive property used to multiply a polynomial by a monomial?

**Multiplication** of a **Polynomial by a Monomial** To **multiply a polynomial by a monomial**, **use** the **distributive property**: **multiply** each term of the **polynomial** by the **monomial**. This involves **multiplying** coefficients and adding exponents of the appropriate variables.

**polynomial**. It is a linear or monomial identity. Both the variables x and y are carrying single power.

Similarly, is 4xy a Monomial?

A **monomial** is an expression in algebra that contains one term, like 3xy. **Monomials** include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. Any number, all by itself, is a **monomial**, like 5 or 2,700. A **monomial** can also be a variable, like m or b.

In **mathematics**, a **polynomial** is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a **polynomial** of a single indeterminate, x, is x^{2} − 4x + 7.