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).
 How would I go about solving? 
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Given those x-intercepts you get::
y = a(2x-1)(x-5)
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With the y-intercept you can solve for "a":
10 = a(-1)(-5)
a = 2
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Equation:
y = 2(2x-1)(x-5)
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Note:: Being a quadratic it cannot be positive on (5,10) if it has
x intercepts 0.5 and 5.
Cheers,
Stan H.
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