Question

试尽可能多的给出整数a,使代数式x^2-ax-12在整数范围内可以因式分解.

Answer 1

因为：-12

=-12*1

=-6*2

=-4*3

=-3*4

=-2*6

=-1*12

所以：

x^2+11x-12=(x-12)(x+1)

x^2+4x-12=(x-6)(x+2)

x^2+x-12=(x-4)(x+3)

x^2-x-12=(x-3)(x+4)

x^2-4x-12=(x-2)(x+6)

x^2-11x-12=(x-1)(x+12)