Solution
Step 1
Write the expression
[tex]2x^2-7x+3[/tex]Step 2
[tex]\begin{gathered} 2\times3=\text{ 6} \\ choose\text{ two integers that if add give -7 and when multiplied give 6} \\ -1\text{ and -6} \\ \\ 2x^2-\text{ x -6x + 3} \\ \\ x(2x\text{ - 1\rparen-3\lparen 2x - 1\rparen} \\ \\ (x\text{ - 3\rparen\lparen2x - 1\rparen} \end{gathered}[/tex]Final answer
(x - 3)(2x - 1)