# High School Math : How to multiply polynomials in pre-algebra

## Example Questions

### Example Question #1 : How To Multiply Polynomials In Pre Algebra

Simplify:

Explanation:

First you look at the . Nine is a perfect square, meaning . Because the negative sign is outside the radical, you add it in at the end of the problem, after =  . Therefore, the answer is

### Example Question #1 : How To Multiply Polynomials In Pre Algebra

Explanation:

First you multiply the coefficients  and . Then you use the rules of exponents to add the exponents  because you are multiplying the bases. This becomes . You then combine the two parts to equal .

### Example Question #1 : How To Multiply Polynomials In Pre Algebra

What is ?

Explanation:

When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.

In this example the powers are  and  which add to .

### Example Question #4 : How To Multiply Polynomials In Pre Algebra

Explanation:

When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.

In this example the powers are  and  which add to .

### Example Question #5 : How To Multiply Polynomials In Pre Algebra

Simplify the expression.

Explanation:

To simplify, we need to multiply all terms together. It is easiest to re-order the expression and group like terms together.

Now we can simplify.

### Example Question #6 : How To Multiply Polynomials In Pre Algebra

What is  simplified?

Explanation:

When multiplying polynomials you add the powers of each like-termed polynomial together so we add the powers of each like-termed variable to find the answer.

In this example the exponents are  and  so

### Example Question #1 : How To Multiply Polynomials In Pre Algebra

What is  simplified?

Explanation:

When multiplying polynomials, add the powers of each like termed polynomial together to find the answer.

In this example the variables are  and  so

### Example Question #8 : How To Multiply Polynomials In Pre Algebra

Multiply the terms.

Explanation:

Solve using the FOIL method. Don't forget to include the negative sign!

First:

Outside:

Inside:

Last:

Add together, and combine like terms.

### Example Question #1 : How To Multiply Polynomials In Pre Algebra

What is  simplified?

Explanation:

When multiplying monomials with the same base, you simply add the exponents together.

In this example the monomials are , and  so .

Simplify