SOLUTION: Write the equation of the cubic function f(x), if f(-2)=0, f(1)=0, f(3)=0 and f(6)=8 Please help. This is pre calc.

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Question 427622: Write the equation of the cubic function f(x), if f(-2)=0, f(1)=0, f(3)=0 and f(6)=8

Please help. This is pre calc.
Answer by Alan3354(31538) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the cubic function f(x), if f(-2)=0, f(1)=0, f(3)=0 and f(6)=8
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If the zeroes are a, b & c, then it's (x-a)*(x-b)*(x-c)
--> f(x) = (x+2)*(x-1)*(x-3)
f(6) = 120 tho, not 8
120/8 = 15
--> (1/15)*(x+2)*(x-1)*(x-3)
Just multiply that