Answer:

Step-by-step explanation:
The given degree of the polynomial P(x) = 5
The leading coefficient = 1
So, the general form of the polynomial with degree 5 is
Now root x =5 is of multiplicity 2, x = 0 of multiplicity 2, x = -1 of multiplicity 1
If x = a is the zero of the polynomial of multiplicity m, then ,
is the factor of the polynomial.
⇒
is a factor of P(x)
is another factor of P(x)
(x +1) is the last factor of P(x)
So, P(x) = Product of all factors = 
Solving the above expression , we get

Hence, 