What are the solutions to the equation s^3+3s^2+2s+1=0 ?

The solutions to the equation s^3+3s^2+2s+1=0 are s\approx-2.32471…

Find the zeros of s^3+3s^2+2s+1=0

The zeros of s^3+3s^2+2s+1=0 are s\approx-2.32471…

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s^{3} + 3 s^{2} + 2 s + 1 = 0

s \approx - 2.32471 \dots

Solution steps

s^{3} + 3 s^{2} + 2 s + 1 = 0

Find one solution for

s^{3} + 3 s^{2} + 2 s + 1 = 0

using Newton-Raphson:

s \approx - 2.32471 \dots

Apply long division:

\frac{s ^{3} + 3 s ^{2} + 2 s + 1}{s + 2.32471 \dots} = s^{2} + 0.67528 \dots s + 0.43015 \dots

s^{2} + 0.67528 \dots s + 0.43015 \dots \approx 0

Find one solution for

s^{2} + 0.67528 \dots s + 0.43015 \dots = 0

using Newton-Raphson:

No Solution for

s \in R

The solution is

s \approx - 2.32471 \dots

x^{4} - 3 x^{3} + 5 x^{2} - 27 x - 36 = 0

x^{5} - x^{4} - x^{3} + x^{2} = 0

(1 + \frac{x}{12})^{12} = 0.12

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

4 x^{3} - 6 = 0

What are the solutions to the equation s^3+3s^2+2s+1=0 ?
The solutions to the equation s^3+3s^2+2s+1=0 are s\approx-2.32471…
Find the zeros of s^3+3s^2+2s+1=0
The zeros of s^3+3s^2+2s+1=0 are s\approx-2.32471…