Algebra II : Factorials

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #39 : Multiplying And Dividing Factorials

Divide the factorials.  

Possible Answers:

Correct answer:

Explanation:

Expand each factorial.

Cancel out the common terms on the numerator and denominator.

The remain terms are:

The answer is:  

Example Question #40 : Multiplying And Dividing Factorials

Divide the fractions:  

Possible Answers:

Correct answer:

Explanation:

In order to divide these fractions, we will need to take the reciprocal of the second term and change the sign to a multiplication.

Write each non-prime term in factors.

Reduce the terms by cancelling the common factors in the numerator and denominator.

The answer is:  

Example Question #41 : Factorials

Multiply the factorials:  

Possible Answers:

Correct answer:

Explanation:

Identify the values of each factorial.  Zero factorial is a special case.

Multiply all three numbers.

The answer is:  

Example Question #42 : Factorials

Simplify the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify the numerator.  Do not distribute the five through the terms inside the parentheses, or it will change the value of the factorial!

Simplify the denominator.

Divide the numerator with the denominator.

The answer is:  

Example Question #43 : Factorials

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Simplify the terms in side the parentheses first.  Do NOT distribute the four through the binomial or this will change the value of the factorial!

Notice the there are common terms in the numerator and denominator.  Cancel out the terms.  The remaining parts are: 

The answer is:  

Example Question #44 : Factorials

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Simplify all the factorials first.

Substitute each term.

Simplify by order of operations.

The answer is:  

Example Question #45 : Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

Expand the factorials first.  Do not distribute the integers inside the parentheses or this will change the value of the factorial.

Cross out the common terms in the numerator and denominator.

The answer is:  

Example Question #46 : Factorials

Multiply the factorials:  

Possible Answers:

Correct answer:

Explanation:

Zero factorial is a special case.  It is equal to one.  

Expand the other factorials.

Simplify this expression.

The answer is:  

Example Question #47 : Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

The value of zero factorial is equal to one.  This is the special case.

Simplify the expression.

Write out the terms in the denominator.

The answer is:  

Example Question #48 : Factorials

Divide the factorials:  

Possible Answers:

Correct answer:

Explanation:

Simplify the factorials first.  Expand the terms.

Cancel the common terms.

Change the sign to multiplication and take the reciprocal of the second fraction.

The answer is:  

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