How to multiply polynomials in pre-algebra

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Math › How to multiply polynomials in pre-algebra

Questions 1 - 10
1

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.

2

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.

3

Simplify

Explanation

When multiplying polynomials you add the powers of each like-termed variable together.

In this example the variables are raised to the and so will be the power of in our answer.

Then we multiply the numbers in front of our variables to get .

Combine the number and our new variable to get the answer .

4

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

Our answer is .

5

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 .

6

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:

7

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 .

Our answer is .

8

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 .

Therefore our answer is .

9

Simplify .

Explanation

Use the distributive property:

10

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

Our answer is .

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