document.write( "Question 616288: I need help with the following question: Find all rational zeros of the polynomial. \"+y=2x%5E3%2B2x%5E2-50x-50+\" \n" ); document.write( "
Algebra.Com's Answer #387611 by lwsshak3(11628)\"\" \"About 
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Find all rational zeros:
\n" ); document.write( "y=2x^3+2x^2-50x-50
\n" ); document.write( "y=2x^2(x+1)-50(x+1)
\n" ); document.write( "(x+1)(2x^2-50)=0
\n" ); document.write( "x+1=0
\n" ); document.write( "x=-1
\n" ); document.write( "or
\n" ); document.write( "2x^2-50=0
\n" ); document.write( "x^2-25=0
\n" ); document.write( "x^2=25
\n" ); document.write( "x=±√25=±5
\n" ); document.write( "zeros: -5, -1, and 5 \n" ); document.write( "
\n" );