document.write( "Question 427009: In the polynomial function f(x)=x^3-4x^2+6x-4, 2is a zero of the function. Name another zero of the function. \n" ); document.write( "
Algebra.Com's Answer #296981 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In the polynomial function f(x)=x^3-4x^2+6x-4, 2 is a zero of the function. Name another zero of the function. \n" ); document.write( "----- \n" ); document.write( "Use synthetic division: \n" ); document.write( "2)....1....-4....6....-4 \n" ); document.write( ".......1.....-2...2...|..0 \n" ); document.write( "---- \n" ); document.write( "Quotient: x^2-2x+2 \n" ); document.write( "Solve x^2-2x+2 = 0 \n" ); document.write( "--- \n" ); document.write( "x = [2 +- sqrt(4-4*1*2)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [2 +- sqrt(-6)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [2+sqrt(6)i]/2 or x = [2-sqrt(6)i]/2 \n" ); document.write( "============================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |