Algebra 1 : How to divide trinomials

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : How To Divide Trinomials

Divide:

Possible Answers:

Correct answer:

Explanation:

Factor the numerator and denominator:

Cancel the factors that appear in both the numerator and the denominator:

Example Question #2 : How To Divide Trinomials

Divide the following trinomials:  

Possible Answers:

Correct answer:

Explanation:

In order to divide, we must first factor both trinomials on the numerator and denominator.

Notice that we now have common terms in the numerator and denominator that can be divided and cancelled.  

Cancel the  terms in the numerator and denominator.

The answer is:  

Example Question #3 : How To Divide Trinomials

Divide the trinomials:  

Possible Answers:

Correct answer:

Explanation:

In order to simplify this, we will need to factorize the numerator and denominator.

Then, .

Simplify the common terms in the numerator and denominator.

The answer is:  

Example Question #4 : How To Divide Trinomials

Divide the trinomials:  

Possible Answers:

Correct answer:

Explanation:

Factor both trinomials on the top of the numerator and denominator.

Notice that both the top and bottom share the  term, which can be eliminated.

The answer is:  

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