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

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

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

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

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

x = 0, x = 3, x = - 1, x = 1

Solution steps

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

Factor

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

x (x - 3) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0 or x + 1 = 0 or x - 1 = 0

Solve

x - 3 = 0 : x = 3

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = 3, x = - 1, x = 1

3 x^{4} = 81 x

- x^{3} + 9 x^{2} - 15 x + 7 = 0

x (x + 1) (x - 2) = 0

x^{4} + 27 x = 0

x^{4} - 4 x^{3} + 15 x^{2} - 4 x + 14 = 0

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