Answer:
C. x - 3
Step-by-step explanation:
The first step to solving this trinomial is to split the middle term (-13x) into two terms that can be added together to get -13x, and be multiplied to get 30):
[tex]x^{2} - 13x + 30[/tex]
[tex]x^{2} - 3x - 10x + 30[/tex]
Group:
[tex]x^{2} - 3x - 10x + 30[/tex]
[tex](x^{2} - 3x) (- 10x + 30)[/tex]
Take out the GCF (Greatest Common Factor):
[tex](x^{2} - 3x) (- 10x + 30)[/tex]
x(x - 3) -10(x - 3)
(x - 10) (x - 3)
In the following answer choices, they don't have the choice of (x - 10), but they do have (x - 3), meaning this is your final answer.