Form a polynomial function with the given zeros

Question

Zeros: 3,2,0

Answer 1

We know that zeroes are just the values of X that make that factor = 0

example:  (X + a) = 0  so X = -a

 

so, for zeroes = 3,2,0 we just form the following factors:

 

(X-3)(X-2)(X-0)  =  X(X-3)(X-2)    ! Now just expand

 

X * (X² -3X -2X + 6)  = X*(X² -5X + 6)   ! then multiply thru by the X

 

X³ - 5X² + 6X