document.write( "Question 953541: The function p is a fourth-degree polynomial with x-intercepts 0.5, 5, and 10 and y-intercept -1. If p(x) is positive only on the interval (5, 10), find p(x). \r
\n" ); document.write( "\n" ); document.write( "How would I go about solving?\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "
Algebra.Com's Answer #582331 by stanbon(75887)\"\" \"About 
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The function p is a fourth-degree polynomial with x-intercepts 0.5, 5, and 10 and y-intercept -1. If p(x) is positive only on the interval (5, 10), find p(x).
\n" ); document.write( " How would I go about solving?
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\n" ); document.write( "Given those x-intercepts you get::
\n" ); document.write( "y = a(2x-1)(x-5)
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\n" ); document.write( "With the y-intercept you can solve for \"a\":
\n" ); document.write( "10 = a(-1)(-5)
\n" ); document.write( "a = 2
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\n" ); document.write( "Equation:
\n" ); document.write( "y = 2(2x-1)(x-5)
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\n" ); document.write( "Note:: Being a quadratic it cannot be positive on (5,10) if it has
\n" ); document.write( "x intercepts 0.5 and 5.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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