Answer:
The polynomial is [tex]x^{4}-4x^{3}+3x^{2}[/tex]
Step-by-step explanation:
∵ The polynomial of dgree 4 has 3 , 1 and zero as a double root
∴ x = 3 , x = 1 , x = 0 , x = 0
∴ The factors of this polynomials are:
(x - 3) , (x - 1) , (x) , (x)
∴The polynomial = (x)(x)(x - 3) (x - 1)
∴ The polynomial = [tex]x^{2}(x^{2}-4x+3)=x^{4}-4x^{3}+3x^{2}[/tex]
