Factorize:

7y² – 19y – 6

Given,

7y² – 19y – 6

Now first find the numbers whose-

Sum = - 19 and

Product = - 6 × 7 = - 42

Required numbers are 21 and 2,

So we get;

7y² – 19y – 6

= 7y² – 21y + 2y – 6

= 7y(y – 3) + 2(y – 3)

= (y – 3)(7y + 2)