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

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

Find the zeros of roots x^3-2x^2-x+2

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

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roots

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

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

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

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

12 x^{4} + 64 x^{3} + 59 x^{2} - 23 x - 12 = 0

x^{3} = 40

(2 x^{2} - 5 x + 1)^{2} - 16 x^{2} + 40 x - 1 = 0

- x^{3} + 27 x - 54 = 0

(x + 3)^{4} = 16

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