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

## Example Questions

### Example Question #11 : How To Multiply Polynomials In Pre Algebra

Simplify:

Explanation:

When multiplying variables, you add the exponents of each like-termed variable together to find the answer.

In this example, the exponents are  and  so .

Our answer is .

### Example Question #12 : How To Multiply Polynomials In Pre Algebra

Combine into a single simplified fraction:

Explanation:

Multiply to get a common denominator:

Next, using FOIL (first, outer, inner, last) remove the parantheses and then combine like terms to get:

### Example Question #13 : How To Multiply Polynomials In Pre Algebra

Simplify .

Explanation:

Use the distributive property:

### Example Question #14 : How To Multiply Polynomials In Pre Algebra

Multiply to find the polynomial.

Explanation:

Multiply using the FOIL method.

First:

Outside:

Inside:

Last:

Add the terms together to get the final expression.

### Example Question #15 : How To Multiply Polynomials In Pre Algebra

Multiply to find the polynomial.

Explanation:

Multiply using the FOIL method.

First:

Outside:

Inside:

Last:

Add the terms to get the final expression.

### Example Question #16 : How To Multiply Polynomials In Pre Algebra

What is  of ?

Explanation:

Convert % to a decimal, which is .

Then multiply  by to get

### Example Question #17 : How To Multiply Polynomials In Pre Algebra

What is the product of  and ?

Explanation:

In order to simplify this problem distribute  to each component of .

Distribute.

Multiply and simplify.

### Example Question #18 : How To Multiply Polynomials In Pre Algebra

The length of a particular rectangle is  greater than the width of the rectangle. If the perimeter of the rectangle is , what is the area of the rectangle?

Explanation:

If the width is , then the length is . The perimeter equals , so .

solving for , we have

, the width, so the length is .

Then, to find the area we multiply  times , which equals .