document.write( "Question 497313: can you please help me solve this polynomial equation (x^3+8) by factoring and using the principle of zero products? i've been having a lot of problems with this one and its confusing me. thank you in advance \n" ); document.write( "
Algebra.Com's Answer #336709 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! can you please help me solve this polynomial equation (x^3+8) by factoring and using the principle of zero products? \n" ); document.write( "------ \n" ); document.write( "Solve: x^3+8 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x+2)(x^2-2x+4) = 0 \n" ); document.write( "---- \n" ); document.write( "x = -2 and \n" ); document.write( "Solve x^2-2x+4 = 0 \n" ); document.write( "x = [2 +- sqrt(4-4*4)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [2 +- sqrt(-12)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [2 +- 2sqrt(3)i]/2 \n" ); document.write( "--- \n" ); document.write( "x = 1+sqrt(3)i or x = 1-sqrt(3)i \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |