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} - 54 x^{2} + 51 x + 106

n^{3} - 6 n^{2} - n + 6 = 0

\frac{x ^{3}}{9} - 1 = 2

x^{4} - 16 x^{2} + 75 = 2 x^{2} - 6

m^{3} - 4 m^{2} - 5 m = 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