1. Solve the quadratic equation $x^2 - 5x + 6 = 0$. 2. Use the factoring method: find two numbers that multiply to $6$ and add to $-5$. 3. The numbers are $-2$ and $-3$, but since the middle term is negative, the factors are $(x-2)(x-3) = 0$. 4. Set each factor equal to zero: $x-2=0$ or $x-3=0$. 5. Solve for $x$: $x=2$ or $x=3$. 6. Therefore, the roots are $2$ and $3$. 7. The correct option is B) 2,3.