What are the solutions to the equation x^4+8x^3+24x^2+32x+16=0 ?

The solutions to the equation x^4+8x^3+24x^2+32x+16=0 are x=-2

Find the zeros of x^4+8x^3+24x^2+32x+16=0

The zeros of x^4+8x^3+24x^2+32x+16=0 are x=-2

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x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 = 0

x = - 2

Solution steps

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 = 0

Factor

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 : (x + 2)^{4}

(x + 2)^{4} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0

Solve

x + 2 = 0 : x = - 2

The solution is

x = - 2

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

- x^{3} + 18 x^{2} - 99 x + 162 = 0

6 x^{5} - 11 x^{4} - 11 x + 6 = 0

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

x^{3} + x^{2} - 17 x + 15 = 0

What are the solutions to the equation x^4+8x^3+24x^2+32x+16=0 ?
The solutions to the equation x^4+8x^3+24x^2+32x+16=0 are x=-2
Find the zeros of x^4+8x^3+24x^2+32x+16=0
The zeros of x^4+8x^3+24x^2+32x+16=0 are x=-2