作业帮3x^3-5x^2+8X-24因式分解
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/10/06 11:43:18
3x^3-5x^2+8X-24因式分解
3x^3-5x^2+8x-24
=3x^3-3*2.1534589x^2+1.4603767x^2-1.4603767*2.1534589x+11.14486120196763x-24
=3x^2(x-2.1534589)+1.4603736x(x-2.1534589)+11.14486095(x-2.1534589)
=(x-2.1534589)(3x^2+1.4603736x+11.14486095)
=3(x-2.1534589)(x^2+0.4867912x+3.71495365)
此为近似的因式分解,但精度很高!
=3x^3-3*2.1534589x^2+1.4603767x^2-1.4603767*2.1534589x+11.14486120196763x-24
=3x^2(x-2.1534589)+1.4603736x(x-2.1534589)+11.14486095(x-2.1534589)
=(x-2.1534589)(3x^2+1.4603736x+11.14486095)
=3(x-2.1534589)(x^2+0.4867912x+3.71495365)
此为近似的因式分解,但精度很高!