SOLUTION: Please help and check what I have so far:
the question: The function p is a fourth-degree polynomial with x-intercepts 1, 4, and 10 and y-intercept -2. If p(x) is positive only
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-> SOLUTION: Please help and check what I have so far:
the question: The function p is a fourth-degree polynomial with x-intercepts 1, 4, and 10 and y-intercept -2. If p(x) is positive only
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Question 916703: Please help and check what I have so far:
the question: The function p is a fourth-degree polynomial with x-intercepts 1, 4, and 10 and y-intercept -2. If p(x) is positive only on the interval (4, 10), find p(x).
p(x)= (x-1)(x-4)(x-10)
I don't understand where to put -2 or what to do with the information about the positive only in the interval (4,10)
Thank you Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! p is a fourth degree polynomial, but you only have 3 roots. So one root has to be repeated (you need 4 total roots).
The y-intercept is -2, so that means p(0) = -2
So you may have p(x)= k(x-1)^2(x-4)(x-10) or p(x)= k(x-1)(x-4)^2(x-10) or p(x)= k(x-1)(x-4)(x-10)^2
Let's see what happens with p(x)= k(x-1)^2(x-4)(x-10)
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