实数范围内因式分解:X^4-2X^2-3

问题描述:

实数范围内因式分解:X^4-2X^2-3

x^4-2x^2-3
=(x^2-3)(x^2+1)
=(x-√3)(x+√3))(x^2+1)

x^4-2x^2-3=x^4-1-2(x^2+1)=(x^2+1)(x^2-3)

x^4-2x^2-3=(x^2-3)(x^2+1)=(x-√3)(x+√3))(x^2+1)

(x^2-1)(2x^2-1)=(x+1)(x-1)(根号2x+根号3)(根号2x-根号3)