document.write( "Question 62441: Please help w/ the following:
\n" ); document.write( "Find the rational roots of F. List any irrational roots correct to two decimal places.
\n" ); document.write( "f(x)= x^4+7x^3+x^2-35x-30
\n" ); document.write( "Thank you. \n" ); document.write( "
Algebra.Com's Answer #43547 by venugopalramana(3286)\"\" \"About 
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Please help w/ the following:
\n" ); document.write( "Find the rational roots of F. List any irrational roots correct to two decimal places.
\n" ); document.write( "f(x)= x^4+7x^3+x^2-35x-30
\n" ); document.write( "Thank you.
\n" ); document.write( "factors of constant term -30 are
\n" ); document.write( "+ or - 1,2,3,5,6,10,15,30
\n" ); document.write( "trying we find f(-1)=0...and.....f(-6)=0
\n" ); document.write( "hence x=-1...or...x+1 is a factor
\n" ); document.write( "-1|1+7+1-35-30
\n" ); document.write( " 0-1-6+5 +30
\n" ); document.write( "---------------------
\n" ); document.write( " 1+6-5-30+0
\n" ); document.write( "x^3+6x^2-5x-30=0
\n" ); document.write( "f(-6) =0.....x=-6....x+6 is a factor
\n" ); document.write( "-6|1+6-5-30
\n" ); document.write( " 0-6+0+30
\n" ); document.write( "------------------
\n" ); document.write( " 1+0-5+0
\n" ); document.write( "x^2-5 is quotient
\n" ); document.write( "x=+ or - sqrt(5)= + or - 2.23607 \n" ); document.write( "
\n" );