# Algebra 1 : How to multiply a monomial by a polynomial

## Example Questions

### Example Question #11 : Monomials

Find the product:

Explanation:

times  gives us , while  times 4 gives us . So it equals .

### Example Question #11 : How To Multiply A Monomial By A Polynomial

Distribute:

Explanation:

Be sure to distribute the  along with its coefficient.

### Example Question #13 : Monomials

Simplify the following expression.

Explanation:

Distribute the outside term into the parentheses.

Simplify each distributed factor into one expression.

### Example Question #11 : Monomials

Simplify the following expression.

Explanation:

Distribute the outside term into the parentheses.

Simplify each distributed factor into one expression.

Explanation:

### Example Question #13 : Monomials

Explanation:

Use the distributive property to obtain each term:

Explanation:

### Example Question #12 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

To multiply this expression, multiply the monomial times both terms in the binomial.

First we will multiply , which represents . This is why we evalute this by multiplying and adding the exponents for x to get .

Now multiply .

### Example Question #13 : Monomials

Multiply  by .

Explanation:

To multiply a monomial by a polynomial, you simply multiply the monomial by each term in the polynomial. In this case that means that the solution is to multiply everything by . The answer becomes .

Multiply: