Question

What is the factor of both x^2 - x - 6 and x^2 - 5x + 6 ?
please explain .

Answer 1

`x^2 - x - 6=\\ x^2-3x+2x-6=\\ x(x-3)+2(x-3)=\\ (x+2)(x-3)\\\\ x^2-5x+6=\\ x^2-2x-3x+6=\\ x(x-2)-3(x-2)=\\ (x-3)(x-2)\\\\ \boxed{x-3}`