x六次方-10x³+16 7x²-6x-1 x²-3(a+1)x+3a+2 ax²-(1-a)x-1x六次方-10x³+167x²-6x-1x²-3(a+1)x+3a+2ax²-(1-a)x-1

x六次方-10x³+16 7x²-6x-1 x²-3(a+1)x+3a+2 ax²-(1-a)x-1x六次方-10x³+167x²-6x-1x²-3(a+1)x+3a+2ax²-(1-a)x-1
x六次方-10x³+16 7x²-6x-1 x²-3(a+1)x+3a+2 ax²-(1-a)x-1
x六次方-10x³+16
7x²-6x-1
x²-3(a+1)x+3a+2
ax²-(1-a)x-1

x六次方-10x³+16 7x²-6x-1 x²-3(a+1)x+3a+2 ax²-(1-a)x-1x六次方-10x³+167x²-6x-1x²-3(a+1)x+3a+2ax²-(1-a)x-1
x^6-10x³+16
=(x³-8)(x³-2)
=(x-2)(x²+4+2x)(x³-2)
7x²-6x-1
1 -1
7 1
(x-1)(7x+1)
x²-3(a+1)x+3a+2
1 -3a-2
1 -1
(x-3a-2)(x-1)
(4)ax²-(1-a)x-1
1 1
a -1
(x+1)(ax-1)

x六次方-10x³+16
=(x³-2)(x³-8)
=(x³-2)(x-2)(x²+2x+4)
7x²-6x-1
=(7x+1)(x-1)
x²-3(a+1)x+3a+2
=(x-3a-2)(x-1)
ax²-(1-a)x-1
=(ax-1)(x+1)

（1）x^6-10x^3+16=（x^3-2）（x^3-8） 注（令t=x^3,化为t^2-10t+16求解）；
（2）7x^2-6x-1=（7x+1)（x-1）；
（3）x^2-3(a+1)x+3a+2=（x-1）（x-3a-2）
（4）ax^2-（1-a）x-1=（ax-1）（x+1）