document.write( "Question 237943: Solve the polynomial equation by factoring and using the zero product principle. I have solved simpiler versions but I'm having a hard time understanding how to attack this one.\r
\n" ); document.write( "\n" ); document.write( "X^3-2X^2-X+2=0
\n" ); document.write( "

Algebra.Com's Answer #174900 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
X^3-2X^2-X+2=0
\n" ); document.write( "---
\n" ); document.write( "Factor the 1st two and the last two terms separately.
\n" ); document.write( "----
\n" ); document.write( "x^2(x-2)-(x-2) = 0
\n" ); document.write( "(x-2)(x^2-1) = 0
\n" ); document.write( "(x-2)(x-1)(x+1) = 0
\n" ); document.write( "x = 2 or x = 1 or x = -1
\n" ); document.write( "=============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );