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受欢迎的代数 >

m^3+3m^2-4m-12=0

解答

m^{3} + 3 m^{2} - 4 m - 12 = 0

解答

m = - 3, m = - 2, m = 2

求解步骤

m^{3} + 3 m^{2} - 4 m - 12 = 0

因式分解

m^{3} + 3 m^{2} - 4 m - 12 : (m + 3) (m + 2) (m - 2)

(m + 3) (m + 2) (m - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

m + 3 = 0 or m + 2 = 0 or m - 2 = 0

解

m + 3 = 0 : m = - 3

解

m + 2 = 0 : m = - 2

解

m - 2 = 0 : m = 2

解为

m = - 3, m = - 2, m = 2

作图

流行的例子

16x^3-48x^2-25x+75=0

16 x^{3} - 48 x^{2} - 25 x + 75 = 0

42 x^{5} - 210 x^{4} = 0

x^{2} (1 - x) = 0

0 = x^{3} + 2 x - 1

2 x^{3} - 3 x^{2} + x = 0