What are the solutions to the equation s^3+6s^2+12s+8=0 ?

The solutions to the equation s^3+6s^2+12s+8=0 are s=-2

Find the zeros of s^3+6s^2+12s+8=0

The zeros of s^3+6s^2+12s+8=0 are s=-2

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s^{3} + 6 s^{2} + 12 s + 8 = 0

s = - 2

Solution steps

s^{3} + 6 s^{2} + 12 s + 8 = 0

Factor

s^{3} + 6 s^{2} + 12 s + 8 : (s + 2)^{3}

(s + 2)^{3} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s + 2 = 0

Solve

s + 2 = 0 : s = - 2

The solution is

s = - 2

0 = m^{3} + 6 m^{2} + 9 m

27 y^{3} - 27 y^{2} + 9 y - 1 = 0

x^{5} + 2 x^{3} + x - 1 = 3

x^{6} - 25 x^{4} - 16 x^{2} + 400 = 0

7 y^{3} + 17 y^{2} = 12 y

What are the solutions to the equation s^3+6s^2+12s+8=0 ?
The solutions to the equation s^3+6s^2+12s+8=0 are s=-2
Find the zeros of s^3+6s^2+12s+8=0
The zeros of s^3+6s^2+12s+8=0 are s=-2