document.write( "Question 306482: Find all rational zeros of the polynomial \"p%28x%29=+x%5E4-2x%5E3-8x%5E2%2B18x-9\" \n" ); document.write( "
Algebra.Com's Answer #219414 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
This looks so complicated and intimidating, that the first instinct is to give up. \r
\n" ); document.write( "\n" ); document.write( "The second thought that you should always have is that such problems always have simple, easy solutions that school students can easily figure out. \r
\n" ); document.write( "\n" ); document.write( "What you know is that if the roots are integer, then the constant part 9, is their product. About the only thing that 9 is divisible by, is 3 and 1. Simple substitution reveals that both 3 and 1 are indeed roots of this polynomial. \r
\n" ); document.write( "\n" ); document.write( "Divide the polynomial by (x-1) and then by (x-1) and you get a simple quadratic equation, which you can easily solve. Give it a try.
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