Algebra II : Factorials

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #26 : Multiplying And Dividing Factorials

Simplify the factorials:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the first term.  Write out the terms of the factorial.

Evaluate the second term.

Combine the simplified terms.

The answer is:  

Example Question #27 : Multiplying And Dividing Factorials

Possible Answers:

Correct answer:

Explanation:

When you have factorials in the numerator and denominator of a fraction, you can cancel out the common factors between them. It can help to write the problems in expanded form.

The entire denominator 13 will be cancelled out leaving only

Example Question #31 : Multiplying And Dividing Factorials

Possible Answers:

Correct answer:

Explanation:

Similar factors that are in both the numerator and denominator of a fraction cancel out. It helps to write it in expanded form.

Example Question #32 : Multiplying And Dividing Factorials

Possible Answers:

Correct answer:

Explanation:

Common factors on the numerator and denominator of a fraction will cancel. It helps to write problems in expanded form.

Then, reduce the fraction to lowest terms. Both numerator and denominator divide by 48.

Example Question #33 : Multiplying And Dividing Factorials

Possible Answers:

Correct answer:

Explanation:

Common factors in the numerator and denominator will cancel. It helps to write factorials in expanded form.

Example Question #34 : Multiplying And Dividing Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify the denominator in the parentheses first.

Rewrite the factorials.

Cancel all the common terms in the numerator and denominator.

The numerator becomes:  

The answer is:  

Example Question #35 : Multiplying And Dividing Factorials

Multiply the following factorials:  

Possible Answers:

Correct answer:

Explanation:

In order to simplify the factorials, first simplify the parentheses.

Simplify the factorials.

The answer is:  

Example Question #36 : Multiplying And Dividing Factorials

Multiply the factorials:  

Possible Answers:

Correct answer:

Explanation:

The value of zero factorial is one.

Replace this value.

Expand the factorials.

The answer is:  

Example Question #37 : Multiplying And Dividing Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify the numerator of the fraction.

Do not reduce the fraction and cancel out the factorials.  Instead, expand both.

Notice that the similar terms on the numerator and denominator will cancel.

The remaining terms are:  

The answer is:  

Example Question #38 : Multiplying And Dividing Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify every term inside the parentheses.

Expand each factorial.

Cancel out the common terms on the numerator and denominator and rewrite what remains of the numerator.

The answer is:  

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