Algebra 1 : How to subtract polynomials

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : Polynomials

Simplify the following expression.

Possible Answers:

Correct answer:

Explanation:

First, we will need to distribute the minus sign.

Then, combine like terms.

Example Question #11 : How To Subtract Polynomials

Perform the indicated mathematical operation on these polynomials:

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

We subtract polynomials just like we would anything else, but we must pay attention to the sign after using the distributive property on the sign that separates the two polynomials in subtraction problems. Then, of course, only like terms can combine or subtract from each other.

Start by distributing the negative sign into the second polynomial:

Now combine or subtract like terms based on the sign between them (same colored terms cancel each other out):

Left over: 

Example Question #12 : How To Subtract Polynomials

Subtract the polynomials:

Possible Answers:

Correct answer:

Explanation:

Use distribution to simplify the signs of the polynomials.

Combine like terms while following coefficient rules.

The correct expanded and simplified answer will be

.

Example Question #13 : How To Subtract 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 #124 : Variables

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 #125 : Variables

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 #126 : Variables

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 #127 : Variables

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 #128 : Variables

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 #129 : Variables

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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