What are the solutions to the equation roots x^3+3x^2+2x ?

The solutions to the equation roots x^3+3x^2+2x are x=0,x=-1,x=-2

Find the zeros of roots x^3+3x^2+2x

The zeros of roots x^3+3x^2+2x are x=0,x=-1,x=-2

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roots

x^{3} + 3 x^{2} + 2 x

x = 0, x = - 1, x = - 2

Solution steps

x^{3} + 3 x^{2} + 2 x

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

x^{3} + 3 x^{2} + 2 x : x (x + 1) (x + 2)

x (x + 1) (x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x + 2 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 2 = 0 : x = - 2

The solutions are

x = 0, x = - 1, x = - 2

x^{3} - 3 x^{2} - 8 x + 24 = 0

x^{8} - 256 = 0

(x + 2)^{4} - 4 (x + 2)^{2} - 5 = 0

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

12 x^{3} - 30 x^{2} + 12 x = 0

What are the solutions to the equation roots x^3+3x^2+2x ?
The solutions to the equation roots x^3+3x^2+2x are x=0,x=-1,x=-2
Find the zeros of roots x^3+3x^2+2x
The zeros of roots x^3+3x^2+2x are x=0,x=-1,x=-2