document.write( "Question 621345: what are the possible rational zeros and real zeros of f(x)=x^3+3x^2-2x-8 \n" ); document.write( "
Algebra.Com's Answer #390712 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
what are the possible rational zeros and real zeros of f(x)=x^3+3x^2-2x-8
\n" ); document.write( "**
\n" ); document.write( "Using the rational roots theorem:\r
\n" ); document.write( "\n" ); document.write( "...0..|.....1........3.......-2.......-8.........
\n" ); document.write( "...1..|.....1........4........2........-6 (There is an irrational root between 1 and 2) (change in sign of last number
\n" ); document.write( "...2..|.....1........5........8.........8 (2 is upper bound) (numbers>0)\r
\n" ); document.write( "\n" ); document.write( "==================
\n" ); document.write( "...0..|.....1........3.......-2........-8
\n" ); document.write( ".-1..|.....1........2.......-4........-4
\n" ); document.write( ".-2..|.....1........1.......-4.........0 (-2 is a root)
\n" ); document.write( "==================
\n" ); document.write( "...0..|.....1........1........-4
\n" ); document.write( ".-1..|.....1........0........-4
\n" ); document.write( ".-2..|.....1......-1........-2 (There is an irrational root between -2 and-3) (change in sign of last number
\n" ); document.write( ".-3..|.....1......-2..........2 (-3 is lower bound) (numbers alternate in sign)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f(x)=(x^2+x-4)(x+2)
\n" ); document.write( "one real rational zero and 2 irrational zeros
\n" ); document.write( " \n" ); document.write( "
\n" );