Posted by **Labz** on Monday, June 4, 2012 at 8:40pm.

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)

- Math -
**Reiny**, Monday, June 4, 2012 at 8:43pm
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)

- Math -
**Labz**, Monday, June 4, 2012 at 8:51pm
thank you again!

- Math -
**Steve**, Tuesday, June 5, 2012 at 12:21am
If you mean roots of 0,2+√5 and 2-√5, then then

y = x^3 - 4x^2 - x

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