Factorize:

2x2 – 17x – 30

Given,


2x2 – 17x – 30


Now first find the numbers whose-


Sum = - 17 and


Product = - 30 × 2 = - 60


Required numbers are 20 and 3,


So we get;


2x2 – 17x – 30


= 2x2 – 20x + 3x – 30


= 2x(x – 10) + 3(x – 10)


= (x – 10)(2x + 3)


34