Question

Factorize: 

2x² – 17x – 30

Answer 1

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)