document.write( "Question 1206676: list ALL roots (rational, irrational, and/or complex) of the given polynomial equation by using the methods discussed in this lesson. show work\r
\n" ); document.write( "\n" ); document.write( "4x^4 - 37x^2 + 9 = 0
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Algebra.Com's Answer #844244 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "\"4x%5E4-37x%5E2%2B9\"

\n" ); document.write( "The polynomial will factor in the form

\n" ); document.write( "\"%28ax%5E2-b%29%28cx%5E2-d%29\"

\n" ); document.write( "where ac=4 and bd=9.

\n" ); document.write( "Trying different combinations, we easily find

\n" ); document.write( "\"4x%5E4-37x%5E2%2B9=%284x%5E2-1%29%28x%5E2-9%29=%282x%2B1%29%282x-1%29%28x%2B3%29%28x-3%29\"

\n" ); document.write( "The roots are

\n" ); document.write( "ANSWER: -1/2, 1/2, -3, 3

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