document.write( "Question 131517: hello! how are you?could u please help me with this i have similar question on my test tonite ,thank you:
\n" ); document.write( "Show that a=-3 and b =1 are the lower and upper bounds fro all zeros of the polynomial $\"P%28x%29=2x%5E3%2B5x%5E2%2Bx-2\"$
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Algebra.Com's Answer #95996 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Show that a=-3 and b =1 are the lower and upper bounds fro all zeros of the polynomial $\"P%28x%29=2x%5E3%2B5x%5E2%2Bx-2\"$ \r
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\n" ); document.write( "There are several ways to do this.
\n" ); document.write( "One is to find all the zeroes.
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\n" ); document.write( "Use synthetic division:
\n" ); document.write( "-2)....2....5.....1....-2
\n" ); document.write( "........2....1....-1..|..0\r
\n" ); document.write( "\n" ); document.write( "so x=-2 is a zero
\n" ); document.write( "Since the quotient is 2x^2+x-1
\n" ); document.write( "There are two other zeros:
\n" ); document.write( "x = [-1 +- sqrt(1-4*2*-1))/4
\n" ); document.write( "x = [-1 +- sqrt(9)]/4
\n" ); document.write( "x = 1/2 or x = -1
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\n" ); document.write( "So x=-3 and x=1 are definately lower and upper bounds
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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