各位大大、請問如何因式分解2x^4-4x^3+9x^2-12x+9呢？（國二數學）謝謝?
回答 (2)
2015-11-17 2:03 pm
✔ 最佳答案
2x⁴- 4x³ + 9x² - 12x + 9= 2x⁴- 4x³ + 3x² + 6x² - 12x + 9
= x²(2x² - 4x + 3) + 3(2x² - 4x + 3)
= (x² + 3) (2x² - 4x + 3)
2016-01-15 1:37 am
2x⁴- 4x³ + 9x² - 12x + 9
= 2x⁴- 4x³ + 3x² + 6x² - 12x + 9
= x²(2x² - 4x + 3) + 3(2x² - 4x + 3)
= (x² + 3) (2x² - 4x + 3)
= 2x⁴- 4x³ + 3x² + 6x² - 12x + 9
= x²(2x² - 4x + 3) + 3(2x² - 4x + 3)
= (x² + 3) (2x² - 4x + 3)
收錄日期: 2021-04-18 14:02:36
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