Algebra 1 : How to add polynomials

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #176 : Polynomials

Find the sum of the polynomials:

Possible Answers:

Correct answer:

Explanation:

Adding polynomials is very simple. It's just a matter of collecting like terms. This means that we look to see if there are similar terms that can have their coefficients added. When we can no longer do this, we have reached our final answer.

Distributing the plus sign to every term in the polynomial right of the sign, we can omit the parentheses. 

Now we are left to collect like terms until we've reached our final answer.

 

Example Question #177 : Polynomials

Add the following polynomials:

Possible Answers:

Correct answer:

Explanation:

Adding polynomials is very simple. It's just a matter of collecting like terms. This means that we look to see if there are similar terms that can have their coefficients added. When we can no longer do this, we have reached our final answer.

Distributing the plus sign to every term in the polynomial right of the sign, we can omit the parentheses. 

Now we are left to collect like terms until we've reached our final answer.

 

Example Question #31 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #32 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #33 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #34 : How To Add Polynomials

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #35 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #36 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #35 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Example Question #36 : How To Add Polynomials

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

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