Given,

z² + 19z – 150

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

Sum = 19 and

Product = - 150

The numbers are 25 and 6,

So,

z² + 19z – 150

= z² + 25z – 6z – 150

= z(z + 25) – 6(z + 25)

= (z + 25)(z – 6)