The factored form of the polynomial is (z+5)(z+5)
Given the polynomial function z^2 + 10z + 25. In order to get the factored form of the function, we will factorize.
On factorizing, we will have:
z^2 + 10z + 25
z^2 + 5z + 5z + 25
z(z+5) + 5(z+5)
(z+5)()z+5)
Hence the factored form of the polynomial is (z+5)(z+5)
Learn more on factorization here: https://brainly.com/question/1596209
