因式分解数学题

显示全部楼层 · 2010-10-30 13:35:08

分解因式
(1)x^4-46x^2+25
(2) (6x-1)(2x-1)(3x-1)(x-1)+x^2
2
如果用（x-a）(x-4）-1能够分解的两个多项式x+b x+c的乘积(b,c为整数），求a的值

千问 · 2010-10-30 13:35:08

(-5 - 6 x + x^2) (-5 + 6 x + x^2)(1 - 6 x + 6 x^2)^2展开-1 + 4 a - 4 x - a x + x^2(x + b1 x + c1) (x + b2 x + c2)=c1 c2 + c1 x + b2 c1 x + c2 x + b1 c2 x + x^2 + b1 x^2 + b2 x^2 +b1 b2 x^2 = c1 c2 + (c1 + b2 c1 + c2 + b1 c2) x + (1 + b1 + b2 + b1 b2) x^2待定系数c1 c2 = 4 a - 1c1 + b2 c1 + c2 + b1 c2 = -4 - a1 + b