SOLUTION: What will these functions look like: 1. The function p is a fourth-degree polynomial with x-intercepts 1.5, 3, and 10 and y-intercept -3. If p(x) is positive only on the interva

Question 909891: What will these functions look like:
1. The function p is a fourth-degree polynomial with x-intercepts 1.5, 3, and 10 and y-intercept -3. If p(x) is positive only on the interval (3, 10), find p(x)
p(x) =
2. A polynomial f of degree 8 has only linear factors, a single x-intercept -6, and a leading coefficient of -0.7. Find f (x).
f(x) =
3. A polynomial g of degree 3 has the x-intercepts -12, -1, and 9 and the y-intercept -324. Find g(x).
g(x) =
Thanks
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

3) g(x) = a(x+12)(x+1)(x-9) when x = 0

  -324 = a(-108)

     3 = a

g(x) = 3(x+12)(x+1)(x-9) 

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