X^10+X^5+1=?
来源:百度知道 编辑:UC知道 时间:2024/06/24 17:26:32
因式分解
x^10+x^5+1
=(x-1)(x^10+x^5+1)/(x-1)
=(x^11-x^10+x^6-x^5+x-1)/(x-1)
其中x^11-x^10+x^6-x^5+x-1
=(x^11-x^5)-(x^10-x)+(x^6-1)
=(x^6-1)(x^5+1)-x(x^9-1)
=(x^3-1)(x^3+1)(x^5+1)-x(x^3-1)(x^6+x^3+1)
=(x^3-1)[(x^8+x^5+x^3+1)-(x^7+x^4+x)]
=(x^3-1)(x^8-x^7+x^5-x^4+x^3-x+1)
∴原式=(x^3-1)(x^8-x^7+x^5-x^4+x^3-x+1)/(x-1)
=(x^2+x+1)(x^8-x^7+x^5-x^4+x^3-x+1)
X^10+X^5+1=X^10+X^5+1+X^5-X^5
=(X^5+1)^2-X^5
=(X^5+1-X^2/5)(X^5+1+X^2/5)
(X-1/X)=5,且X<0,求x^10+x^6+x^4+1除以x^10+x^8+x^2+1的值
(x+1)(x-4)-6=x^2-3x-4-6=x^2-3x-10=(x+2)(x-5)中x^2-3x-10怎么弄成(x-5)(x+2).
X^10+X^5+1=?
已知x=根号2-1,计算x^10+2x^9-2x^8-2x^7+x^6+3x^2+5x+1的值
y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=10值?
x^10+x^5+1
x^6+x^5+x^4+x^3+x^2+x+1=0
1x 2x 3x 4x 5x 6=( )x( )+( )
x=5,(++x)+(++x)+(++x)=?
x*x-x=1 x=?