document.write( "Question 1057682: Please tell me what are all the rational zeros for the function $\"+g%28t%29+=+2t%5E4+-+3t%5E3+%2B+16t+-+24+\"$ ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #672700 by josgarithmetic(39633) $\"\"$ $\"About$

You can put this solution on YOUR website!
To find the RATIONAL zeros, use the Rational Roots Theorem. Make a list of all the possible roots to check, and check them using synthetic division, refactorizing each time, until you exhaust your list.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Roots $\"q%2Fp\"$ to check:
\n" ); document.write( "The pluses and minuses of q for 1,2,3,4,6,8,16,18,24;
\n" ); document.write( "p for pluses and minuses of 1, 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You can expect $\"-2\"$ to be shown as a root, and $\"1.5=3%2F2\"$ to be shown as a root. You should find no other real nor rational roots; but unsure about any multiplicities ( I resorted to Google's graphing feature). \n" ); document.write( "

\n" );