what is the factored form of the polynomial?\n$z^{2}-10z + 25$\n$(z - 5)(z - 5)$\n$(z + 5)(z + 5)$\n$(z…

what is the factored form of the polynomial?\n$z^{2}-10z + 25$\n$(z - 5)(z - 5)$\n$(z + 5)(z + 5)$\n$(z - 2)(z + 5)$\n$(z + 2)(z - 5)$

what is the factored form of the polynomial?\n$z^{2}-10z + 25$\n$(z - 5)(z - 5)$\n$(z + 5)(z + 5)$\n$(z - 2)(z + 5)$\n$(z + 2)(z - 5)$

Answer

Explanation:

Step1: Recall the perfect - square formula

The perfect - square formula is ((a - b)^2=a^{2}-2ab + b^{2}). In the polynomial (z^{2}-10z + 25), we have (a = z) and (2ab=10z). Since (a = z), then (2b = 10), so (b = 5), and (b^{2}=25).

Step2: Factor the polynomial

We can rewrite (z^{2}-10z + 25) as ((z - 5)^{2}=(z - 5)(z - 5)) according to the perfect - square formula.

Answer:

A. ((z - 5)(z - 5))