SOLUTION: f(2)=36 and f(-4)=f(0)=F(3)=0 expression for cubic funtion

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Question 640281: f(2)=36 and f(-4)=f(0)=F(3)=0 expression for cubic funtion
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A cubic polynomial function in standard form is:



So if , then



which is to say:



Likewise, from the other function values given:







But from the third equation, this reduces to the 3X3 system:







Just solve the 3X3 by any convenient means to find the coefficients of your cubic function.

John

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