document.write( "Question 314766: identify all rational zeros of the polynomial function f(x)=3x^4-5x^3-29x^2+45x+18 \n" ); document.write( "

Algebra.Com's Answer #225136 by Fombitz(32388) $\"\"$ $\"About$

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$\"+graph%28+300%2C300%2C+-5%2C+5%2C+-10%2C+10%2C+3x%5E4-5x%5E3-29x%5E2%2B45x%2B18%29+\"$
\n" ); document.write( "Looks like zeros ar x=-3,2,3
\n" ); document.write( "Verify using the polynomial,
\n" ); document.write( " $\"+3%28-3%29%5E4-5%28-3%29%5E3-29%28-3%29%5E2%2B45%28-3%29%2B18=243%2B135-261-135%2B18=0+\"$
\n" ); document.write( " $\"3%282%29%5E4-5%282%29%5E3-29%282%29%5E2%2B45%282%29%2B18=48-40-116%2B90%2B18=0\"$
\n" ); document.write( " $\"3%283%29%5E4-5%283%29%5E3-29%283%29%5E2%2B45%283%29%2B18=243-135-261%2B135%2B18=0\"$ \r
\n" ); document.write( "\n" ); document.write( ".
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\n" ); document.write( " $\"+graph%28+300%2C300%2C+-2%2C+1%2C+-10%2C+10%2C+3x%5E4-5x%5E3-29x%5E2%2B45x%2B18%29+\"$
\n" ); document.write( "A closer look reveal x=-1/3 as a possible root.
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\n" ); document.write( "The four roots are then x= $\"-3\"$ , $\"-1%2F3\"$ , $\"2\"$ , $\"3\"$ \n" ); document.write( "

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