document.write( "Question 332608: What are the possible rational roots for 2x^4+11x^3+x^2-10x-4? \n" ); document.write( "

Algebra.Com's Answer #238322 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The rational roots theorem says that if a polynomial equation has rational roots, then these roots must be of the form:\r
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\n" ); document.write( "\n" ); document.write( "where

is an integer factor of the lead coefficient, and

is an integer factor of the constant term.\r
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\n" ); document.write( "\n" ); document.write( "The factors of your lead coefficient are 1 and 2, and the factors of your constant term are 1, 2, and 4. So take the

, the 1 and 2 for the denominator, and the 1, 2, and 4 for the numerator, and make all possible distinctly different rational numbers. Those are your possible rational roots. You have a 4th degree polynomial equation, so you must have 4 roots. Zero, 2, or 4 of them will be rational.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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