document.write( "Question 935116: If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k = \n" ); document.write( "
Algebra.Com's Answer #568233 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If (x + 2) is a factor of x^3 − 6x^2 + kx + 10, k = \n" ); document.write( "----- \n" ); document.write( "If (x+2) is a factor, x = -2 is a zero or root. \n" ); document.write( "----- \n" ); document.write( "Using synthetic division:: \n" ); document.write( "-2)....1....-6....k....10 \n" ); document.write( ".......1....-4....k-8..|..-2(k-8)+10 \n" ); document.write( "------ \n" ); document.write( "Solve:: \n" ); document.write( "-2(k-8)+10 = 0 \n" ); document.write( "-2k + 16 + 10 = 0 \n" ); document.write( "-2k = 26 = 0 \n" ); document.write( "k = 13 \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |