What are the solutions to the equation roots x^3-2x^2-5x+6 ?

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

Find the zeros of roots x^3-2x^2-5x+6

The zeros of roots x^3-2x^2-5x+6 are x=1,x=-2,x=3

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roots

x^{3} - 2 x^{2} - 5 x + 6

x = 1, x = - 2, x = 3

Solution steps

x^{3} - 2 x^{2} - 5 x + 6

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

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

(x - 1) (x + 2) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 1, x = - 2, x = 3

x^{3} - 10 x^{2} + 32 x - 32 = 0

x^{6} - 8 x^{3} = 0

x^{4} + 15 x^{2} + 54 = 0

4 x^{4} - 28 x^{3} + 61 x^{2} - 42 x + 9 = 0

16 x^{4} - 52 x^{2} + 36 = 0

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