document.write( "Question 558200: find the real roots of the polynomial y=3x^4-5x^3-5x^2+5x+2 \n" ); document.write( "
Algebra.Com's Answer #362980 by stanbon(75887)\"\" \"About 
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find the real roots of the polynomial y=3x^4-5x^3-5x^2+5x+2
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\n" ); document.write( "The coefficients add up to 0 so x = 1 is a root.
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\n" ); document.write( "Use synthetic division to find the other roots:
\n" ); document.write( "1)....3....-5....-5....5....2
\n" ); document.write( ".......3.....-2....-7...-2...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: 3x^3 - 2x^2 -7x -2
\n" ); document.write( "x = -1 is a root
\n" ); document.write( "-1)....3....-2....-7....-2
\n" ); document.write( "........3.....-5....-2...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: 3x^2-5x-2
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\n" ); document.write( "Find the roots of the quadratic:
\n" ); document.write( "x = [5 +- sqrt(25-4*-2)]/6
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\n" ); document.write( "x = [-5 +- sqrt(33)]/6
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\n" ); document.write( "You now have the 4 roots
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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