What are the solutions to the equation x^6+x^5-5x^4-x^3+8x^2-4x=0 ?

The solutions to the equation x^6+x^5-5x^4-x^3+8x^2-4x=0 are x=0,x=1,x=-2

Find the zeros of x^6+x^5-5x^4-x^3+8x^2-4x=0

The zeros of x^6+x^5-5x^4-x^3+8x^2-4x=0 are x=0,x=1,x=-2

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x^{6} + x^{5} - 5 x^{4} - x^{3} + 8 x^{2} - 4 x = 0

x = 0, x = 1, x = - 2

Solution steps

x^{6} + x^{5} - 5 x^{4} - x^{3} + 8 x^{2} - 4 x = 0

Factor

x^{6} + x^{5} - 5 x^{4} - x^{3} + 8 x^{2} - 4 x : x (x - 1)^{3} (x + 2)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

The solutions are

x = 0, x = 1, x = - 2

x^{6} + 9 x^{3} + 8

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

m^{4} - m^{3} - m^{2} + m = 0

- x^{3} + 8 x^{2} - 16 x = 0

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

What are the solutions to the equation x^6+x^5-5x^4-x^3+8x^2-4x=0 ?
The solutions to the equation x^6+x^5-5x^4-x^3+8x^2-4x=0 are x=0,x=1,x=-2
Find the zeros of x^6+x^5-5x^4-x^3+8x^2-4x=0
The zeros of x^6+x^5-5x^4-x^3+8x^2-4x=0 are x=0,x=1,x=-2