Asked by Labz
                a) Determine an equation, in simplified form, for the family of cubic functions with zeros 2 +- sqrt5 and 0.
b) Determine an equation for the member of the family with graph passing through point (2,20)
            
        b) Determine an equation for the member of the family with graph passing through point (2,20)
Answers
                    Answered by
            Reiny
            
    Since you have given me 4 distinct roots, the equation must be a quartic not a cubic
it would be
y = ax(x-2)(x+√5)(x-√5)
= ax(x-2)(x^2 - 5)
to find a, sub in your given point (2,20)
    
it would be
y = ax(x-2)(x+√5)(x-√5)
= ax(x-2)(x^2 - 5)
to find a, sub in your given point (2,20)
                    Answered by
            Labz
            
    thank you again!
    
                    Answered by
            Steve
            
    If you mean roots of 0,2+√5 and 2-√5, then then
y = x^3 - 4x^2 - x
    
y = x^3 - 4x^2 - x
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