High School Math : Polynomials

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #41 : Polynomials

What is ?

Possible Answers:

Correct answer:

Explanation:

When simplifying polynomials, only combine like terms raised to the same power.

In this case we can subtract the constants:

The answer is then .

Example Question #13 : How To Add And Subtract Polynomials In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

When adding polynomials you add the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and add 

After addition we add the variable  to get 

We have the answer .

Example Question #14 : How To Add And Subtract Polynomials In Pre Algebra

What is ?

Possible Answers:

Correct answer:

Explanation:

When subtracting polynomials you only subtract the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and subtract them 

After subtraction we add the variable  to get .

The answer is .

Example Question #42 : Polynomials

Simplify

Possible Answers:

Correct answer:

Explanation:

When adding variables raised to the same power, add the values in front of the like-termed variables. In this case, we add  and  to get .

Example Question #43 : Polynomials

Simplify

Possible Answers:

Correct answer:

Explanation:

When dividing variables raised to the same power, subtract the power of the bottom term from the power of the top term. In this case, subtract  from  to find the power of the answer, .

Example Question #1051 : High School Math

Simplify:

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

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 .

Example Question #2 : How To Multiply Polynomials In Pre Algebra

Possible Answers:

Correct answer:

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

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

Simplify the expression.

Possible Answers:

Correct answer:

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.

Learning Tools by Varsity Tutors