分解因式 x3+x2+x-3 x3-6x2+11x-6 x4+x3-7x2-x+6
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/20 13:36:52
分解因式 x3+x2+x-3 x3-6x2+11x-6 x4+x3-7x2-x+6
(1)
x3+x2+x-3=x^3-x+x^2+2x-3 = x(x-1)(x+1)+(x-1)(x+3)
= (x-1)(x^2+2x+3)
(2)
x3-6x2+11x-6 = x^3-x^2 -(5x^2-11x+6) = x^2(x-1)-(5x-6)(x-1)
= (x-1)(x^2-5x+6)
=(x-1)(x-2)(x-3)
(3)
x4+x3-7x2-x+6 = x^3(x+1) - (7x-6)(x+1)
= (x+1)(x^3-7x+6)
=(x+1)[(x^3-x^2)+x^2-7x+6]
=(x+1)[x^2(x-1)+(x-6)(x-1)]
=(x+1)(x-1)(x^2+x-6)
=(x+1)(x-1)(x-2)(x+3)
x3+x2+x-3=x^3-x+x^2+2x-3 = x(x-1)(x+1)+(x-1)(x+3)
= (x-1)(x^2+2x+3)
(2)
x3-6x2+11x-6 = x^3-x^2 -(5x^2-11x+6) = x^2(x-1)-(5x-6)(x-1)
= (x-1)(x^2-5x+6)
=(x-1)(x-2)(x-3)
(3)
x4+x3-7x2-x+6 = x^3(x+1) - (7x-6)(x+1)
= (x+1)(x^3-7x+6)
=(x+1)[(x^3-x^2)+x^2-7x+6]
=(x+1)[x^2(x-1)+(x-6)(x-1)]
=(x+1)(x-1)(x^2+x-6)
=(x+1)(x-1)(x-2)(x+3)
分解因式 x3+x2+x-3 x3-6x2+11x-6 x4+x3-7x2-x+6
1分解因式:2x4-x3-13x2-15=?2.分解因式:x5+x4+x3+x2+x+1=?3分解因式:x4-4x2+6
分解因式:6x4+7x3-36x2-7x+6.
分解因式X5+X4+X3+X2+X+1
一、分解因式:x3-x2-x-2
分解因式:-27x3+8 ,(x2-5x+2)(x2-5x+4)-24 ,x5+x4+x3+x2+x1+1
用列主元Gauss消元法解线性方程组{-x2-x3+x4=0,x1-x2+x3-3x4=1,2x1-2x2-4x3+6x
x4+5x3+5x2+5x-6=0
分解因式:x4+2x3+3x2+2x+1=______.
在实数范围内因式分解:x4+x3-3x2-4x-4=______.
把x3+3x2-4x-12分解因式.
关于二元一次方程组若X1,X2,X3,X4,X5满足下列方程组:2X1+X2+X3+X4+X5=6X1+2X2+X3+X