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

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

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

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

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roots

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

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

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

x^{7} = - 128

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

x^{4} + 3 x^{2} = 10

12 x^{3} - 91 x^{2} + 50 x - 7 = 0

4 x^{3} + 25 x = 46 x - 10

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