document.write( "Question 444526: x^3-5x^2+4x+6, 3 is a zero find all zeros \n" ); document.write( "
Algebra.Com's Answer #306992 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! x^3-5x^2+4x+6, 3 is a zero find all zeros \n" ); document.write( ".. \n" ); document.write( "since 3 is a known zero, divide (x^3-5x^2+4x+6)/(x-3) either by long division or synthetic division. \n" ); document.write( "You should get a quotient (x^2-2x-2). This won't factor nicely so you must use the quadratic formula to solve for the other 2 zeros. \n" ); document.write( "a=1, b=-2, c=-2 \n" ); document.write( "x=[-(-2)+-sqrt((-2)^2-4*1*-2)]/2*1 \n" ); document.write( "x=[2+-sqrt(4+8)]/2 \n" ); document.write( "x=(2+-√12)/2 \n" ); document.write( "x=(2+-2√3)/2 \n" ); document.write( "x=1+-√3 \n" ); document.write( "x=2.732 \n" ); document.write( "or x=-.732 \n" ); document.write( "ans: \n" ); document.write( "zeros are: -.732, 2.732, and 3 \n" ); document.write( " |