Answer: D. (x-6)(x-6)
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
[tex]x^{2}-12x+36[/tex] (1)
First term:[tex]x^{2}[/tex]
Third term:[tex]36=6^{2}[/tex]
If we factorize this expression we have:
[tex](x-6)(x-6)=x^{2}-6x-6x+36=x^{2}-12x+36[/tex]
As we can see, the trinomial (1) has two factors:
[tex](x-6)[/tex] and [tex](x-6)[/tex]
Therefore, the correct option is D.
