Factor the polynomial below.

Answer:
D
Step-by-step explanation:
The question is to factor [tex]2a^2-10a+3ab-15b[/tex]
We group the first 2 terms and find common factor. We group the last 2 terms and find common factor. Simplifying we get:
[tex]2a^2-10a+3ab-15b\\=(2a^2-10a)+(3ab-15b)\\=2a(a-5)+3b(a-5)\\=(2a+3b)(a-5)[/tex]
Clearly, answer choice D is correct.