What are the solutions to the equation roots x^3+4x^2+3x+2 ?

The solutions to the equation roots x^3+4x^2+3x+2 are x\approx-3.26953…

Find the zeros of roots x^3+4x^2+3x+2

The zeros of roots x^3+4x^2+3x+2 are x\approx-3.26953…

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roots

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

x \approx - 3.26953 \dots

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Find one solution for

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

using Newton-Raphson:

x \approx - 3.26953 \dots

Apply long division:

\frac{x ^{3} + 4 x ^{2} + 3 x + 2}{x + 3.26953 \dots} = x^{2} + 0.73046 \dots x + 0.61170 \dots

x^{2} + 0.73046 \dots x + 0.61170 \dots \approx 0

Find one solution for

x^{2} + 0.73046 \dots x + 0.61170 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 3.26953 \dots

x^{4} - 16 x^{2} = x^{2} + 18

z^{6} - 2 z^{3} + 2

0 = x^{3} + 21 x - 90

(9 x^{3} + 6 x^{2} - 48 x + 10) = - 10

624 = 300 x + 3 x^{3}

What are the solutions to the equation roots x^3+4x^2+3x+2 ?
The solutions to the equation roots x^3+4x^2+3x+2 are x\approx-3.26953…
Find the zeros of roots x^3+4x^2+3x+2
The zeros of roots x^3+4x^2+3x+2 are x\approx-3.26953…