Such a polynomial must have the root  ,  associated with ,  and the root  , associated with .


So, the polynomial, presented as the product of linear factors is


    p(x) = .


The product of the first two factors is  .


The product of the last two factors is   = .


So, the polynomial  p(x)  is  p(x) = ..


You can multiply the last two quadratic polynomial to get the standard form, if you need.


In any case, the idea and the method are presented, so you can learn it from my post.