SOLUTION: What binomial power does the binomial expansion 1/x^4 + 8/x + 24x^2 + 32x^5 + 16x^8 represent? Indicate the binomial base as well as the exponent. Explain how you figured out your

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Question 1202471: What binomial power does the binomial expansion 1/x^4 + 8/x + 24x^2 + 32x^5 + 16x^8 represent? Indicate the binomial base as well as the exponent. Explain how you figured out your answer.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
What binomial power does the binomial expansion 1/x^4 + 8/x + 24x^2 + 32x^5 + 16x^8 represent?
Indicate the binomial base as well as the exponent. Explain how you figured out your answer.
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We have 5 terms ordered according increasing degrees of x.


First term    is the fourth degree of .

The last, 5-th term, is the fourth degree of  .

Therefore, it is logical to hypothesize that the given expression 
is the binomial expansion of  .


To check this hypothesis, we should make direct FOIL.


If you do it, you will see that all the terms are correct.


ANSWER.   +  +  +  +  = .

Solved, with explanations.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The expression has 5 terms, so it is of the form .

In the expansion of , the first term is and the last term is .

The first term of the expression is , so the first term of the binomial is .

The last term of the expression is , so the second term of the binomial is .

ANSWER: The given expression is


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