Answer:
option A, (3x + 4)
Explanation:
We have to find the factors of 6x² + 17x + 12
To factorize the expression we will multiply the coefficients of x² and constant term 12 first.
6 × 12 = 72
We have to assume two numbers which on addition give 17 and on multiplication give 72.
Now we get the numbers as 9 and 8.
6x² + 17x + 12 = 6x² + 9x + 8x + 12
= 3x ( 2x + 3 ) + 4(2x + 3)
= ( 3x + 4 ) (2x + 3 )
Therefore, option A, (3x + 4) will be the answer.