What are the solutions to the equation x^{(3)}+2x^{(2)}-11x-12=0 ?

The solutions to the equation x^{(3)}+2x^{(2)}-11x-12=0 are x=-1,x=3,x=-4

Find the zeros of x^{(3)}+2x^{(2)}-11x-12=0

The zeros of x^{(3)}+2x^{(2)}-11x-12=0 are x=-1,x=3,x=-4

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x^{(3)} + 2 x^{(2)} - 11 x - 12 = 0

x = - 1, x = 3, x = - 4

Solution steps

x^{(3)} + 2 x^{(2)} - 11 x - 12 = 0

Refine

x^{3} + 2 x^{2} - 11 x - 12 = 0

Factor

x^{3} + 2 x^{2} - 11 x - 12 : (x + 1) (x - 3) (x + 4)

(x + 1) (x - 3) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 3 = 0 or x + 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 3 = 0 : x = 3

Solve

x + 4 = 0 : x = - 4

The solutions are

x = - 1, x = 3, x = - 4

x^{3} - 14 x^{2} + 50 x = 0

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

g^{3} = 125

9 x^{4} + 16 = 40 x^{2}

x^{4} - x^{2} = 20

What are the solutions to the equation x^{(3)}+2x^{(2)}-11x-12=0 ?
The solutions to the equation x^{(3)}+2x^{(2)}-11x-12=0 are x=-1,x=3,x=-4
Find the zeros of x^{(3)}+2x^{(2)}-11x-12=0
The zeros of x^{(3)}+2x^{(2)}-11x-12=0 are x=-1,x=3,x=-4