document.write( "Question 331534: x3+7x2-21x-27=0 \n" ); document.write( "
Algebra.Com's Answer #237596 by Jk22(389)![]() ![]() You can put this solution on YOUR website! P(x)=x3+7x2-21x-27=0\r \n" ); document.write( "\n" ); document.write( "Check : P(-1)=-1+7+21-27=0, hence P(x) is dividable by x+1 : \r \n" ); document.write( "\n" ); document.write( "x^3+7x^2-21x-27 | x+1 \n" ); document.write( "--------------------- \n" ); document.write( "x^3+x^2_________| x^2+6x-27 \n" ); document.write( "----------------|---------- \n" ); document.write( "6x^2-21x________| \n" ); document.write( "6x^2+6x_________| \n" ); document.write( "-------------------------- \n" ); document.write( "-27x-27_________| \n" ); document.write( "-27x-27 \n" ); document.write( "--------------------------- \n" ); document.write( "0\r \n" ); document.write( "\n" ); document.write( "=>P(x)=(x+1)(x^2+6x-27)=(x+1)(x+9)(x-3) by Viete's method \n" ); document.write( " |