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(52790) (Show Source):
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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. + + + + = .