Given,

2x² + x – 45

Now first find the numbers whose-

Sum = 1 and

Product = - 45 × 2 = - 90

Required numbers are 10 and 9,

So we get;

2x² + x – 45

= 2x² + 10x – 9x – 45

= 2x(x + 5) – 9(x + 5)

= (x + 5)(2x – 9)