设多项式为ax3 + bx2 + cx + d,零为α,β和γ
然后,α+β+γ=-(-2)/ 1 = 2 = -b / aαβ+βγ+γα= -7 = -7/1 = c / aαβγ= -14 = -14/1 =- d / a
∴a = 1,b = -2,c = -7,d = 14
因此,一个满足给定条件的三次多项式将为x3 – 2×2 – 7x + 14
更新:20210423 104156发布时间:2020-09-13 13:27:54 作者:冬青好
设多项式为ax3 + bx2 + cx + d,零为α,β和γ
然后,α+β+γ=-(-2)/ 1 = 2 = -b / aαβ+βγ+γα= -7 = -7/1 = c / aαβγ= -14 = -14/1 =- d / a
∴a = 1,b = -2,c = -7,d = 14
因此,一个满足给定条件的三次多项式将为x3 – 2×2 – 7x + 14
更新:20210423 104156.