Question

Find the simplet polynomial with the following Zeros.

(1/3) (2/5) (4) (4)

Answer 1

\[p(x)=(3x-1)(5x-2)(x-4)^2\]

Answer 2

clear that each factor gives the correct zeros, and i take it by 4, 4 you mean 4 is a zero with multiplicity 2. if you want to multiply out you can and get
\[15x^4-131x^3+330x^2-192x+32\]