Write an equation for the cubic polynomial function whose graph has zeroes at 2.3, and 5 . Can any of the roots have multiplicity? - How can you find a function that has these roots ​

Respuesta :

Answer:

Step-by-step explanation:

The equation is

f(x) = (x - 2)(x - 3)(x - 5)

By the fundamental theorem of Algebra a cubic equation will have 3 roots.

Therefore there are no roots with multiplicity for this function.

An example pf a function with roots of multiplicity is

f(x) = (x - 2)^2(x + 4)  which has roots of 2 (multiplicity 2) amd -4.