x^3-7x-6因式分解

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 03:30:22
x^3-7x-6因式分解

x^3-7x-6因式分解
x^3-7x-6因式分解

x^3-7x-6因式分解
x^3-7x-6
=x^3-9x+2x-6
=x(x^2-9)+2(x-3)
=x(x+3)(x-3)+2(x-3)
=(x-3)[x(x+3)+2]
=(x-3)(x+1)(x+2)

X³-7X-6
=X³-4X-3X-6
=X(X²-4)-(3X+6)
=X(X-2)(X+2)-3(X+2)
=(X+2)(X(X-2)-3)
=(X+2)(X²-2X-3)
=(X+2)(X-3)(X+1)

x³-7x-6
=x³+1-7x-7
=(x+1)(x²-x+1)-7(x+1)
=(x+1)(x²-x-6)
=(x+1)(x-3)(x+2)