document.write( "Question 947225: P(x) = x4 − 2x3 − 24x2 + 50x − 25. What are all the rational zeros and the polynomial in its factored form? \n" ); document.write( "
Algebra.Com's Answer #578020 by lwsshak3(11628)\"\" \"About 
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P(x) = x4 − 2x3 − 24x2 + 50x − 25. What are all the rational zeros and the polynomial in its factored form?\r
\n" ); document.write( "\n" ); document.write( "Rational roots theorem w/synthetic division:
\n" ); document.write( "...0...|...1....-2.....-24.....50.....-25
\n" ); document.write( "...1...|...1....-1.....-25.....25......0 (1 is a zero)
\n" ); document.write( "...2...|...1.....1.....-23.....4....................
\n" ); document.write( "...3...|...1.....2....-19.....-7.................
\n" ); document.write( "...4...|...1.....3....-13.....-2...................
\n" ); document.write( "...5...|...1....4.....-5........0 (5 is a zero)
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\n" ); document.write( "\n" ); document.write( "...0...|...1....-2.....-24.....50.....-25
\n" ); document.write( "..-1...|...1....-3.....-21.....71.....-96........
\n" ); document.write( "..-2...|...1....-4.....-16.....82.....-189........
\n" ); document.write( "..-3...|...1....-5......-9......77.....-256.
\n" ); document.write( "..-4...|...1....-6.......0......50.....-225...........
\n" ); document.write( "..-5...|...1....-7.......9.......5........0 (-5 is a zero)
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\n" ); document.write( "Rational zeros: -5, 1, 5
\n" ); document.write( "P(x)=(x-1)(x-5)(x+5) \n" ); document.write( "
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