SOLUTION: Given that f(x) is a cubic function with zeros at -6,-2 , and 6, find an equation for f(x) given that f(0)=-5

Question 288907: Given that f(x) is a cubic function with zeros at -6,-2 , and 6, find an equation for f(x) given that f(0)=-5

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given that f(x) is a cubic function with zeros at -6,-2 , and 6, find an equation for f(x) given that f(0)= -5
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f(x) = k(x+6)(x+2)(x-6)
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Using f(0) = -5, find "k":
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f(0) = k(6)(2)(-6) = -5
-72k = -5
k = 5/72
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Equation:
y = (5/72)(x+6)(x+2)(x-6)
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Cheers,
Stan H.
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