Explanation

To factorize the quadratic expression 2x² + 5x + 2, we need to find two numbers whose product is 2 × 2 = 4 and whose sum is 5. These numbers are 4 and 1.

2x² + 5x + 2 = 2x² + 4x + x + 2

= 2x(x + 2) + 1(x + 2)

= (x + 2)(2x + 1)