高中!! 1.X的3方減x的平方減18=? 2.x的4方減19x的平方加9=?

2019-07-02 10:27 pm

回答 (2)

2019-07-03 6:06 am
✔ 最佳答案
1 x^3-x^2-18
=(x^3-3x^2)+(2x^2-18)
=(x^3-3x^2)+(2x^2-6x)+(6x-18)
=x^2(x-3)+2x(x-3)+6(x-3)
=(x^2+2x+6)(x-3)
2.x^4-19x^2+9
=(x^4-5x^3+3x^2)+(5x^3-22x^2+9)
=(x^4-5x^3+3x^2)+(5x^3-25x^2+15x^2)+(3x^2-15x^2+9)
=x^2(x^2-5x+3)+5x(x^2-5x+3)+3(x^2-5x+3)
=(x^3+5x+3)(x^2-5x+3)
2019-07-03 3:53 am


x³ - x² - 18

= (x - 3)(x² + 2x + 6) #



x⁴ - 19x² + 9 無法因式分解 #


收錄日期: 2021-04-30 22:53:22
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20190702142710AAZS02G

檢視 Wayback Machine 備份