High School Math : Polynomials

Study concepts, example questions & explanations for High School Math

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Example Questions

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

What is  simplified?

Possible Answers:

Correct answer:

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 .

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

What is  simplified?

Possible Answers:

Correct answer:

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 .

Example Question #3 : How To Multiply Polynomials In Pre Algebra

Multiply the terms.

Possible Answers:

Correct answer:

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 #8 : How To Multiply Polynomials In Pre Algebra

What is  simplified?

Possible Answers:

Correct answer:

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 .

Example Question #10 : How To Multiply Polynomials In Pre Algebra

Simplify 

Possible Answers:

Correct answer:

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 .

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

Simplify:

Possible Answers:

Correct answer:

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:

Possible Answers:

Correct answer:

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 #51 : Polynomials

Simplify .

Possible Answers:

Correct answer:

Explanation:

Use the distributive property:

Example Question #52 : Polynomials

Multiply to find the polynomial.

Possible Answers:

Correct answer:

Explanation:

Multiply using the FOIL method.

First:

Outside:

Inside:

Last:

Add the terms together to get the final expression.

 

Example Question #53 : Polynomials

Multiply to find the polynomial.

Possible Answers:

Correct answer:

Explanation:

Multiply using the FOIL method.

First:

Outside:

Inside:

Last:

Add the terms to get the final expression.

 

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