What are the solutions to the equation x^{(3)}+3x^{(2)}-4x-12=0 ?

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

Find the zeros of x^{(3)}+3x^{(2)}-4x-12=0

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

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x^{(3)} + 3 x^{(2)} - 4 x - 12 = 0

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

Solution steps

x^{(3)} + 3 x^{(2)} - 4 x - 12 = 0

Refine

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 3 = 0 : x = - 3

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

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

4 x^{4} - 5 x^{2} - 9 = 0

x^{2} (x + 5) = 0

x^{3} + 4 x^{2} - 5 x + 1 = 0

\frac{( x ^{3} - 2 )}{( - 1 )} = - 25

36 = 9.75 + 1.5 t^{3}

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