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

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

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

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

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

x \approx - 2.32471 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 2.32471 \dots

Apply long division:

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

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

Find one solution for

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

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 2.32471 \dots

x^{3} - 12 x^{2} + 48 x - 63 = 0

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

s, s (s + 2) (s + 10) = 0

(a + y i)^{3} = 4 - 43 + 0 i

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

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