If you factor the expression by grouping you should get (3g - 5) (2g +7)
Steps:
1. Factor 11 out of 11g
6g^2 + 11 (g) - 35
2. Rewrite 11 as -10 plus 21
6g^2 + (-10 + 21) g - 35
3. Apply the distributive property
6g^2 + (-10g + 21g) - 35
4. Remove parentheses
6g^2 - 10g + 21g - 35
5. Group the first two and the last two terms
(6g^2 - 10g) + (21g - 35)
6. Factor out the greatest common factor from each group
2g (3g - 5) + 7 (3g - 5)
7. Factor out the greatest common factor, 3g - 5
(3g - 5) (2g + 7)
Therefore the answer is A