document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #837327 by ikleyn(52795)\"\" \"About 
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\n" ); document.write( "What binomial power does the binomial expansion 1/x^4 + 8/x + 24x^2 + 32x^5 + 16x^8 represent?
\n" ); document.write( "Indicate the binomial base as well as the exponent. Explain how you figured out your answer.
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document.write( "We have 5 terms ordered according increasing degrees of x.\r\n" );
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document.write( "First term  \"1%2Fx%5E4\"  is the fourth degree of \"1%2Fx\".\r\n" );
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document.write( "The last, 5-th term, is the fourth degree of  \"2x%5E2\".\r\n" );
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document.write( "Therefore, it is logical to hypothesize that the given expression \r\n" );
document.write( "is the binomial expansion of  \"%281%2Fx+%2B+2x%5E2%29%5E4\".\r\n" );
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document.write( "To check this hypothesis, we should make direct FOIL.\r\n" );
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document.write( "If you do it, you will see that all the terms are correct.\r\n" );
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document.write( "ANSWER.  \"1%2Fx%5E4\" + \"8%2Fx\" + \"24x%5E2\" + \"32x%5E5\" + \"16x%5E8\" = \"%281%2Fx%2B2x%5E2%29%5E4\".\r\n" );
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