document.write( "Question 1032999: Solve the following equation by identifying all of its roots including all real and complex numbers. In your final answer, include the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.\r
\n" ); document.write( "\n" ); document.write( "(x^2+1)(x^3+2x)(x^2-64)=0 \n" ); document.write( "
Algebra.Com's Answer #647795 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
(x^2+1)(x^3+2x)(x^2-64)=0
\n" ); document.write( "Find a root from each factor
\n" ); document.write( "x^2 + 1 = 0
\n" ); document.write( "x^2 = -1
\n" ); document.write( "x = \"sqrt%28-1%29\"
\n" ); document.write( "x = i
\n" ); document.write( ":
\n" ); document.write( "(x^3 + 2x) = 0
\n" ); document.write( "Factor out x
\n" ); document.write( "x(x^2 + 2) = 0
\n" ); document.write( "x = 0
\n" ); document.write( "and
\n" ); document.write( "x^2 = -2
\n" ); document.write( "x = \"sqrt%28-2%29\"
\n" ); document.write( "x = \"sqrt%282%2A-1%29\"
\n" ); document.write( "Extract the square root of -1
\n" ); document.write( "x = \"i%2Asqrt%282%29\"
\n" ); document.write( ":
\n" ); document.write( "x^2 - 64 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-8)(x+8) = 0
\n" ); document.write( "x = 8
\n" ); document.write( "and
\n" ); document.write( "x = -8
\n" ); document.write( " \n" ); document.write( "
\n" );