What are the solutions to the equation x^3+5x^2-8x-12=0 ?

The solutions to the equation x^3+5x^2-8x-12=0 are x=-1,x=2,x=-6

Find the zeros of x^3+5x^2-8x-12=0

The zeros of x^3+5x^2-8x-12=0 are x=-1,x=2,x=-6

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x^{3} + 5 x^{2} - 8 x - 12 = 0

x = - 1, x = 2, x = - 6

Solution steps

x^{3} + 5 x^{2} - 8 x - 12 = 0

Factor

x^{3} + 5 x^{2} - 8 x - 12 : (x + 1) (x - 2) (x + 6)

(x + 1) (x - 2) (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 2 = 0 or x + 6 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 2 = 0 : x = 2

Solve

x + 6 = 0 : x = - 6

The solutions are

x = - 1, x = 2, x = - 6

x^{4} - 8 x^{2} + 16 = 0

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

2 m^{5} - 7 m^{4} + 12 m^{3} + 8 m^{2} = 0

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

m^{5} - 4 m^{4} + 4 m^{3} = 0

What are the solutions to the equation x^3+5x^2-8x-12=0 ?
The solutions to the equation x^3+5x^2-8x-12=0 are x=-1,x=2,x=-6
Find the zeros of x^3+5x^2-8x-12=0
The zeros of x^3+5x^2-8x-12=0 are x=-1,x=2,x=-6