Algebra 1 : How to add polynomials

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #165 : 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 #166 : 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 #167 : 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 #168 : 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 #169 : Polynomials

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

Let's begin by putting each polynomial in standard form (decreasing exponent order)

Good, see how the highest exponents are on the left, and the lowest are on the right? That's standard form.

Next, let's remove the parentheses and put terms with the same exponent next to eachother.

Okay, finally, combine like terms by adding the coefficients (the numbers out front).

Notice that the squared terms cancel out, and the fifth term stays the same.

Example Question #21 : 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 #22 : 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 #23 : 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 #24 : 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 #25 : How To Add Polynomials

Simplify:

Possible Answers:

Correct answer:

Explanation:

To solve, simply combine like terms by adding their coefficients. Thus,

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