\(x^2-5x+6=\left(x-2\right)\left(x-3\right)\)
\(x^2-7x+12=\left(x-2\right)\left(x-5\right)\)
\(x^2+x-12=\left(x-5\right)\left(x+6\right)\)
\(x^2-9x+20=\left(x-4\right)\left(x-5\right)\)
\(2x^2-3x+2=2\left(x+\dfrac{1}{2}\right)\left(x-2\right)\)
\(4x^2-7x-2=4\left(x-2\right)\left(x+\dfrac{1}{4}\right)\)
\(4x^2+15x+9=4\left(x+\dfrac{3}{4}\right)\left(x+3\right)\)