Please help me I AM STUCK, and please explain how you get the answer.

Answer:
C) 5
Step-by-step explanation:
[tex]\frac{6x²+19x+10}{2x+5}[/tex]
= [tex]\frac{3x(2x+5)+2(2x+5)}{2x+5}[/tex]
= [tex]\frac{(2x+5)(3x+2)}{2x+5}[/tex]
= 3x+2
which means that if they want us to find what ax+b is, you can figure out that ax+b is similar to 3x+2 and plug in what they want us to solve for, a+b.
ax+b=3x+2 (hence 3=a and 2=b)
wants: a+b
answer: 3+2= 5
hope this helps! :)