What are the solutions to the equation factor x^4+4x^3+6x^2+4x+1=0 ?

The solutions to the equation factor x^4+4x^3+6x^2+4x+1=0 are x=-1

Find the zeros of factor x^4+4x^3+6x^2+4x+1=0

The zeros of factor x^4+4x^3+6x^2+4x+1=0 are x=-1

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factor

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1 = 0

x = - 1

Solution steps

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1 = 0

Factor

x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1 : (x + 1)^{4}

(x + 1)^{4} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0

Solve

x + 1 = 0 : x = - 1

The solution is

x = - 1

x^{4} - i \cdot x^{2} + 2 = 0

x^{4} - 4 x^{3} - x^{2} + 14 x + 10 = 0

x^{3} - 5 x - 6 = 0

x^{3} + 8 x^{2} + 12 x + 18 = 0

- 4 x^{3} - 18 x^{2} - 32 x - 26 = 0

What are the solutions to the equation factor x^4+4x^3+6x^2+4x+1=0 ?
The solutions to the equation factor x^4+4x^3+6x^2+4x+1=0 are x=-1
Find the zeros of factor x^4+4x^3+6x^2+4x+1=0
The zeros of factor x^4+4x^3+6x^2+4x+1=0 are x=-1