x^4-6x^3-37x^2+66x+216=x^4-3x^3-3x^3+9x^2-46x^2+138x-72x+216=x^3(x-3)-3x^2(x-3)-46x(x-3)-72(x-3)=(x-3)(x^3-3x^2-46x-72)=(x-3)(x^3-9x^2+6x^2-54x+8x-72)=(x-3)(x^2(x-9)+6x(x-9)+8(x-9))=(x-3)(x-9)(x^2+6x+8)=(x-3)(x-9)(x+2)(x+4)