Factorize:

7x2 – 19x – 6

Given,


7x2 – 19x – 6


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


Sum = - 19 and


Product = 7 × - 6 = - 42


The numbers are 21 and 2,


So,


7x2 – 19x – 6


= 7x2 – 21x + 2x – 6


= 7x(x – 3) + 2(x – 3)


= (x – 3)(7x + 2)


43