Answer:
Option C. (2x+3)(6x – 5) is the correct answer.
Step-by-step explanation:
Given polynomial(trinomial) is:
[tex]12x^2 + 8x - 15[/tex]
The given trinomial is quadratic. Factorization will be as follows:
Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.
The required factors are 18 and 10
So,
[tex]=12x^2+18x-10x-15\\=6x(2x+3)-5(2x+3)\\= (6x-5)(2x+3)[/tex]
Hence,
Option C. (2x+3)(6x – 5) is the correct answer.
