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受欢迎的代数 >

根 x^3+3x^2-4x-12

解答

根

x^{3} + 3 x^{2} - 4 x - 12

解答

x = - 3, x = - 2, x = 2

求解步骤

x^{3} + 3 x^{2} - 4 x - 12

根与 X 轴相交

(y = 0)

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

因式分解

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

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 3 = 0 or x + 2 = 0 or x - 2 = 0

解

x + 3 = 0 : x = - 3

解

x + 2 = 0 : x = - 2

解

x - 2 = 0 : x = 2

解为

x = - 3, x = - 2, x = 2

作图

流行的例子

m^3-3m^2+2m-6=0

m^{3} - 3 m^{2} + 2 m - 6 = 0

m^{3} - 6 m^{2} = 0

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x^{3} + 6 x^{2} - 7 x - 60 = 0

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6 x^{4} + 7 x^{3} - 15 x^{2} + 7 x - 1 = 0

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