document.write( "Question 427323: find all the REAL zeros of f(x) = 3x^4+11x^3+11x^2+x-2 \n" ); document.write( "
Algebra.Com's Answer #297178 by stanbon(75887)\"\" \"About 
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find all the REAL zeros of
\n" ); document.write( "f(x) = 3x^4+11x^3+11x^2+x-2
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\n" ); document.write( "Use synthetic division:
\n" ); document.write( "-1)....3....11....11....1....-2
\n" ); document.write( "........3.....8....3....-2...|..0\r
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\n" ); document.write( "Quotient: 3x^3+8x^2+3x-2
\n" ); document.write( "-1)....3....8....3....-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( "Solve 3x^2+5x-2 = 0
\n" ); document.write( "3x^2+6x-x-2 = 0
\n" ); document.write( "3x(x+2)-(x+2) = 0
\n" ); document.write( "(x+2)(3x-1) = 0
\n" ); document.write( "x = -2 or x = 1
\n" ); document.write( "---
\n" ); document.write( "All the Real Zeroes:
\n" ); document.write( "x = -1 with multiplicity 2
\n" ); document.write( "x = -2
\n" ); document.write( "x = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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