1)x²-4x-12=x²-6x+2x-12=x(x-6)+2(x-6)=(x-6)(x+2)
2)x²-2x-3=x²+x-3x-3=x(x+1)-3(x+1)=(x+1)(x-3)
3)x⁴-x²-6=x⁴+2x²-3x²-6=x²(x²+2)-3(x²+2)=(x²+2)(x²-3)=(x²+2)(x-√3)(x+√3)
4)x²-x-6=x²+2x-3x-6=x(x+2)-3(x+2)=(x+2)(x-3)
5)x²+2x-15=x²-3x+5x-15=x(x-3)+5(x-3)=(x-3)(x+5)
6)16x²-40x+25=(4x-5)²
7)x²+2x-8 =x²+4x-2x-8=x(x+4)-2(x+4)=(x+4)(x-2)
8)(2x²-x)+(2x²-x-2)-8 =4x²-2x-10=2(2x²-x-5)
9)2x²-5x+2=2x²-4x-x+2=2x(x-2)-(x-2)=(x-2)(2x-1)
10)16x²-40x+25=(4x-5)²
11)2x²-x-3=2x²-3x+2x-3=x(2x-3)+(2x-3)=(2x-3)(x+1)
12)x²-5x-6=x²-6x+x-6=x(x-6)+(x-6)=(x-6)(x+1)