document.write( "Question 468916: Use the Rational Zero theorem. First find the potential zeros from the factors of p and the factors of q, then test then by the synthetic division or the polynomial division.
\n" ); document.write( "Section 4.5 #60 In Problems 57–68, solve each equation in the real number system 2x3 – 3x2 – 3x – 5 = 0\r
\n" ); document.write( "\n" ); document.write( "Can someone please help me with this problem? thank you. I answered it on my on and I got it wrong. \n" ); document.write( "
Algebra.Com's Answer #322040 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Use the Rational Zero theorem. First find the potential zeros from the factors of p and the factors of q, then test then by the synthetic division or the polynomial division.
\n" ); document.write( "Solve each equation in the real number system 2x3 – 3x2 – 3x – 5 = 0 .
\n" ); document.write( "...
\n" ); document.write( "factors of p=5: ±1, ±5
\n" ); document.write( "factors of q=2: ±1, ±2
\n" ); document.write( "possible rational roots(p/q):±1, ±1/2, ±5/2
\n" ); document.write( "Finding real number roots using synthetic division:
\n" ); document.write( "0).......2...-3...-3...-5
\n" ); document.write( "1).......2...-1...-4...-5
\n" ); document.write( "1/2)...2...-2...-4...-3
\n" ); document.write( "5/2)...2.....2.....2... 0 (root)
\n" ); document.write( "P(x)=(x-5/2)(2x^2+2x+2)
\n" ); document.write( "2x^2+2x+2=0
\n" ); document.write( "x^2+x+1=0
\n" ); document.write( "x=[-1±sqrt(1-4*1*1)]/2*1
\n" ); document.write( "x=(-1±√-3)/2
\n" ); document.write( "Given function has one real root,x=5/2, and two imaginary roots, x=(-1±√-3)/2 \n" ); document.write( "
\n" );