Explanation

Let's factorize 2x^2 - 7x + 3. We need to find two numbers that multiply to 2 × 3 = 6 and add to -7. These numbers are -6 and -1.

So, 2x^2 - 7x + 3 = 2x^2 - 6x - x + 3

= 2x(x - 3) - 1(x - 3)

= (2x - 1)(x - 3)