document.write( "Question 229893: i need help with this one too: If (x-2) is a factor of 3x^3 -kx^2 +(k+1)x-2; find the value of k. \n" ); document.write( "
Algebra.Com's Answer #170399 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! 3x^3 -kx^2 +(k+1)x - 2, (x-2) is one factor \n" ); document.write( ": \n" ); document.write( "Use synthetic division \n" ); document.write( ": \n" ); document.write( "..._________________ \n" ); document.write( "2|3 - k + (k+1) - 2 \n" ); document.write( ".....+ 6+ 2(6-k) +2(-k+13) \n" ); document.write( "-------------------------- \n" ); document.write( "...3 + (6-k) + (-k+13) + 0 \n" ); document.write( ": \n" ); document.write( "In order for us to have 0 remainder \n" ); document.write( "2(-k+13) = +2 \n" ); document.write( "-2k + 26 = + 2 \n" ); document.write( "-2k = 2 - 26 \n" ); document.write( "-2k = -24 \n" ); document.write( "k = +12 \n" ); document.write( ": \n" ); document.write( "The equation 3x^2 - 12x^2 + 13x - 2 \n" ); document.write( " |