ACT Math : How to add polynomials

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Add Polynomials

Simplify the following expression. 

Possible Answers:

Correct answer:

Explanation:

Line up each expression vertically. Then combine like terms to solve. 

____________________

 

Thus, the final solution is .

Example Question #2 : How To Add Polynomials

What is the value of  when 

Possible Answers:

Correct answer:

Explanation:

In adding  to both sides:

. . .and adding  to both sides:

. . .the variables are isolated to become:

 

After dividing both sides by , the equation becomes:

Example Question #3 : How To Add Polynomials

Add the following polynomials:

Possible Answers:

Correct answer:

Explanation:

This is a problem where elimination can be help you save a little time. You can eliminate options quickly by simplifying one power at a time and comparing your work with the answer choices.

To begin, reorder the problem so that all like terms are next to each other. When doing so, keep an eye on your signs so that you don't accidentally make a mistake.

From here, combine each pair of terms. As you do so, compare your work with the answer choices.

   Eliminate any answer choices that have a different  term.

 Eliminate any answer choices that have a different  term.

 Eliminate any answer choices that have a different x term.

 Eliminate any answer choices that have a different constant term.

Once you put all of your solutions together, the correct answer looks like this:

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