Question

What is the factored form of the polynomial? z2 â’ 10z 25 (z â’ 5)(z â’ 5) (z 5)(z 5) (z â’ 2)(z 5) (z 2)(z â’ 5).

Answer 1

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)

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