Which of the following is a factor of 6x2 + 17x + 12? 3x + 4 2x + 4 3x + 3 none of the above

option A, (3x + 4)

Step-by-step 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.