Given,

6x² – 17x – 3

Now, first we have to find out the numbers whose-

Sum = - 17 and

Product = 6 × - 3 = - 18

The numbers are 18 and 1,

So,

6x² – 17x – 3

= 6x² – 18x + 1x – 3

= 6x(x – 3) + 1(x – 3)

= (x – 3)(6x + 1)