What are the solutions to the equation roots x^5+x^4+2x^3+x^2+2x+3 ?

The solutions to the equation roots x^5+x^4+2x^3+x^2+2x+3 are x=-1

Find the zeros of roots x^5+x^4+2x^3+x^2+2x+3

The zeros of roots x^5+x^4+2x^3+x^2+2x+3 are x=-1

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roots

x^{5} + x^{4} + 2 x^{3} + x^{2} + 2 x + 3

x = - 1

Solution steps

x^{5} + x^{4} + 2 x^{3} + x^{2} + 2 x + 3

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

x^{5} + x^{4} + 2 x^{3} + x^{2} + 2 x + 3 : (x + 1) (x^{4} + 2 x^{2} - x + 3)

(x + 1) (x^{4} + 2 x^{2} - x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{4} + 2 x^{2} - x + 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

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

No Solution for

x \in R

The solution is

x = - 1

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

- 4 x^{4} + x^{3} + x^{2} + x + 3.5 = 0

200 s^{3} + 332 s^{2} + 223 s + 2 = 0

r^{3} - r = 0

x^{3} - 6 x^{2} + 10 x - 4 = 0

What are the solutions to the equation roots x^5+x^4+2x^3+x^2+2x+3 ?
The solutions to the equation roots x^5+x^4+2x^3+x^2+2x+3 are x=-1
Find the zeros of roots x^5+x^4+2x^3+x^2+2x+3
The zeros of roots x^5+x^4+2x^3+x^2+2x+3 are x=-1