document.write( "Question 947223: P(x) = x5 − x4 − 5x3 + x2 + 8x + 4. Find all real zeros. \n" ); document.write( "

Algebra.Com's Answer #578281 by lwsshak3(11628) $\"\"$ $\"About$

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P(x) = x5 − x4 − 5x3 + x2 + 8x + 4. Find all real zeros.
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\n" ); document.write( "Rational Roots Theorem with synthetic division
\n" ); document.write( "...0...|....1......-1......-5......1......8.......4
\n" ); document.write( "...1...|....1.......0......-5.....-4......4.......8
\n" ); document.write( "...2...|....1.......1......-3.....-5......-2......0 (2 is a root or zero)
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\n" ); document.write( "...0...|....1.......1......-3.....-5......-2
\n" ); document.write( "...2...|....1.......3.......3......1........0 (2 is a root of mult.2)
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\n" ); document.write( "...2...|....1.......3.......3......1
\n" ); document.write( "..-1...|....1......2........1.....0 (-1 is a root or zero)
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\n" ); document.write( " $\"P%28x%29=%28x-2%29%5E2%28x%2B1%29%28x%5E2%2B2x%2B1%29\"$
\n" ); document.write( " $\"P%28x%29=%28x-2%29%5E2%28x%2B1%29%28x%2B1%29%5E2\"$
\n" ); document.write( " $\"P%28x%29=%28x-2%29%5E2%28x%2B1%29%5E3\"$
\n" ); document.write( "zeros are:-1(mult.3), 2(mult.2) \n" ); document.write( "

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