SOLUTION: what cubic polynomial has zeros at x=1 x=-2 x=2 and a y intercept of 2

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Question 603320: what cubic polynomial has zeros at x=1 x=-2 x=2 and a y intercept of 2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

cubic polynomial has zeros at x=1 x=-2 x=2 

f(x) = a(x-1)(x-2)(x+2)

f(x) = a(x^3-x^2-4x+4)

y intercept of 2

f(0) = 4a = 2

        a = .5

f(x) = .5(x-1)(x-2)(x+2)