document.write( "Question 201857: Identify all rational zeros for f(x) = x3 + 4x2 - 3x - 18 \n" ); document.write( "
Algebra.Com's Answer #152122 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! y= x^3 +4x^2 -3x -18,,,,factors p/q = +/- 1,18,2,9,3,6, (factors 1st and last term) \n" ); document.write( ". \n" ); document.write( "use synthetic division ( or regular division) to define factors \n" ); document.write( ". \n" ); document.write( ",,,-3,,,,1,,,,4,,,,-3,,,,-18 \n" ); document.write( ". \n" ); document.write( ",,,,,,,,,,,,,,-3,,,-3,,,,,+18 \n" ); document.write( "_______________________________ \n" ); document.write( ",,,,,,,,,1,,,,1,,,,-6,,,,0,,,,,,,,,therefore (x+3) is factor,,,x=-3 is zero \n" ); document.write( ", \n" ); document.write( "remainder is,,,,1x^2 +1x -6,,,,,,which factors to \n" ); document.write( ". \n" ); document.write( "( x+3)(x-2) \n" ); document.write( ". \n" ); document.write( "final factors are (x+3)(x+3)(x-2),,,,zeros are x= -3,-3,+2 \n" ); document.write( ". \n" ); document.write( "check by multiplying all factors together,,,ok \n" ); document.write( ". \n" ); document.write( "If graphing calc is available, input eqn and review graph. \n" ); document.write( " |