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

## Example Questions

### Example Question #31 : How To Multiply A Monomial By A Polynomial

Explanation:

Distribute the minimal into the binomial to evaluate:

### Example Question #32 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

In order to simplify this expression, we must distribute the  term among all the terms inside the parentheses.  If there are any like terms existent afterward, we will need to combine like terms.

### Example Question #33 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

use the distributive property:

so

so

### Example Question #34 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

Distribute the  throughout each term in the parentheses.

Simplify all terms on the right.

### Example Question #35 : How To Multiply A Monomial By A Polynomial

Expand the following:

Explanation:

To expand this, you must distribute the 3x to each of the terms in the parenthesis. Therefore, you get the following:

### Example Question #36 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

Multiply by distributing the  term across each term in the parentheses.

Expand each term.  When multiplying similar bases with a power, their powers can be added.

Simplify.

### Example Question #37 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

To simplify this expression, simply distribute the monomial throughout the terms inside the polynomial.

Simplify all the terms.  When multiplying bases with a power, it is the same as adding the powers.

### Example Question #38 : How To Multiply A Monomial By A Polynomial

Multiply:

Explanation:

Distribute the monomial throughout the terms of the polynomial.

Simplify these terms.  When similar bases of a particular power are multiplied, their powers can be added.

### Example Question #39 : How To Multiply A Monomial By A Polynomial

Multiply  with .

Explanation:

Write the expression of the multiplied terms.

Distribute the monomial with each term in the polynomial.

Simplify this expression.

Multiply: