4x^4-9x^2+6x-1因式分解

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 20:10:17
4x^4-9x^2+6x-1因式分解

4x^4-9x^2+6x-1因式分解
4x^4-9x^2+6x-1因式分解

4x^4-9x^2+6x-1因式分解
4x^4-9x^2+6x-1
=4x^4-(9x^2-6x+1)
=(2x^2)^2-(3x-1)^2
=(2x^2+3x-1)(2x^2-3x+1)
=(x-1)(2x-1)(2x^2+3x-1)

syms x
>> factor(4*x^4-9*x^2+6*x-1)

ans =

(x-1)*(2*x-1)*(2*x^2+3*x-1)

4x^4-9x^2+6x-1
=4x(-9)乘x^6+6x-1
=(-27)乘x9^7+6x
=-27x^7+6x