document.write( "Question 1067432: Find all the rational zeros of the function f(x)=5x^4-15x^3-265^2-45x \n" ); document.write( "
Algebra.Com's Answer #682631 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 5x^4-15x^3-265x^2-45x \n" ); document.write( "factor out a 5x \n" ); document.write( "5x(x^3-3x^2-53x-9)=0 notice I wrote 265x^2 \n" ); document.write( "x=0 is one root. \n" ); document.write( "synthetic division \n" ); document.write( "1===-3===-53===-9 try 9 \n" ); document.write( "1====6===1======0 \n" ); document.write( "(x-9)(x^2+6x+1)=0 \n" ); document.write( "x=9 is a second root \n" ); document.write( "x=(1/2)(-6 +/- sqrt (36-4)); sqrt (32)=4 sqrt(2)) \n" ); document.write( "x=-3+/- 2 sqrt (2), the other two roots, numerically about -5.8 and -0.2 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |