document.write( "Question 1000536: 9x^4-18x^3+17x^2-18x+8
\n" ); document.write( "Unsure how to complete this. How to find the zero(rational) roots \n" ); document.write( "

Algebra.Com's Answer #617944 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( " $\"9x%5E4-18x%5E3%2B17x%5E2-18x%2B8=0\"$ .......factor completely,..first write $\"-18x%5E3\"$ as $\"-6x%5E3-6x-12x%5E3\"$ , $\"17x%5E2\"$ as $\"9x%5E2%2B8x%5E2\"$ , and $\"-18x\"$ as $\"-6x-12x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"9x%5E4-6x%5E3-6x-12x%5E3%2B9x%5E2%2B8x%5E2-6x-12x%2B8=0\"$ ......group
\n" ); document.write( " $\"%289x%5E4%2B+9x%5E2%29-%2812x%5E3%2B12x%29-%286x%5E3%2B6x%29%2B%288x%5E2%2B8%29=0\"$
\n" ); document.write( " $\"9x%5E2%28x%5E2%2B+1%29-12x%28x%5E2%2B1%29-6x%28x%5E2%2B1%29%2B8%28x%5E2%2B1%29=0\"$
\n" ); document.write( " $\"%289x%5E2-6x-12x%2B8%29%28x%5E2%2B1%29+=+0\"$
\n" ); document.write( " $\"%28%289x%5E2-6x%29-%2812x-8%29%29%28x%5E2%2B1%29+=+0\"$
\n" ); document.write( " $\"%283x%283x-2%29-4%283x-2%29%29%28x%5E2%2B1%29+=+0\"$
\n" ); document.write( " $\"%283x-4%29+%283x-2%29+%28x%5E2%2B1%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"%283x-4%29++=+0\"$ => $\"3x=4\"$ => $\"highlight%28x=4%2F3%29\"$
\n" ); document.write( "if $\"%283x-2%29++=+0\"$ => $\"3x=2\"$ => $\"highlight%28x=2%2F3%29\"$
\n" ); document.write( "if $\"+%28x%5E2%2B1%29+=+0\"$ => $\"x%5E2=-1\"$ => $\"x=sqrt%28-1%29\"$ => $\"highlight%28x=i%29\"$ and $\"highlight%28x=-i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );