document.write( "Question 1189226: Please explain how to solve this: https://docs.google.com/document/d/1jpqO35zDSlUDFyoB_pZ0TZF8JsOYXjmlSxNh7r31O-s/edit?usp=sharing \n" ); document.write( "
Algebra.Com's Answer #820554 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Using synthetic division 3 times with 1 as the root, or polynomial division, either z-1 3 times or z^3-3z^2+3z-1 once, the second term is z^2+3z+6 \n" ); document.write( "The roots of that are (1/2)[-3 +/- I sqrt(15)] \n" ); document.write( "All the roots are 1,1,1,-3+ Isqrt(15), and -3-I sqrt(15) \n" ); document.write( "The product of the complex roots is 9 - I^2*15=9+15=24. \n" ); document.write( "The product of the roots is 24. \n" ); document.write( "The sum of the roots is 1+1+1-3+I sqrt (15)-3 - I sqrt (15)=-3 \n" ); document.write( " |