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)\"\" \"About 
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( "\"graph%28300%2C300%2C-8%2C11%2C-1200%2C1200%2C5x%5E4-15x%5E3-265x%5E2-45x%29\"
\n" ); document.write( "\"graph%28300%2C300%2C-2%2C2%2C-10%2C10%2C5x%5E4-15x%5E3-265x%5E2-45x%29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );