document.write( "Question 687288: find the roots of the polynomial equation
\n" ); document.write( "2x^4-5x^3-17x^2+41x-21=0 \n" ); document.write( "
Algebra.Com's Answer #425103 by stanbon(75887)\"\" \"About 
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find the roots of the polynomial equation
\n" ); document.write( "2x^4-5x^3-17x^2+41x-21=0
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\n" ); document.write( "The coefficients add up to zero, so x = 1 is a root.
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\n" ); document.write( "Use synthetic division to find other roots:
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\n" ); document.write( "1)....2....-5....-17....41....-21
\n" ); document.write( "......2....-3....-20....21....|..0
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\n" ); document.write( "\n" ); document.write( "Again the coefficients add up to zero, so x = 1 is again a root:
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\n" ); document.write( "1)....2....-3....-20....21
\n" ); document.write( "......2....-1....-21...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: 2x^2 -x -21\r
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\n" ); document.write( "Factor: 2x^2 -7x+6x -21 = 0
\n" ); document.write( "x(2x-7 + 3(2x-7) = 0
\n" ); document.write( "(2x-7)(x+3) = 0
\n" ); document.write( "Roots: x = 7/6, x = -3, x = 1 (multiplicity 2)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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