The expression 4x^2 - 5x + 3 is a quadratic expression. It can be factored by finding two numbers that multiply to the leading coefficient (4) times the constant (3) and add up to the middle coefficient (-5).
The numbers that fulfill this condition are -4 and -3:
4x^2 - 5x + 3 = 4x^2 - 4x - x + 3
= 4x(x - 1) - 1(x - 5x + 3 = (4x - 1)(x - 3).
