What are the solutions to the equation x^3+4x^2-11x-30=0 ?

The solutions to the equation x^3+4x^2-11x-30=0 are x=-2,x=3,x=-5

Find the zeros of x^3+4x^2-11x-30=0

The zeros of x^3+4x^2-11x-30=0 are x=-2,x=3,x=-5

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x^{3} + 4 x^{2} - 11 x - 30 = 0

x = - 2, x = 3, x = - 5

Solution steps

x^{3} + 4 x^{2} - 11 x - 30 = 0

Factor

x^{3} + 4 x^{2} - 11 x - 30 : (x + 2) (x - 3) (x + 5)

(x + 2) (x - 3) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 3 = 0 or x + 5 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 3 = 0 : x = 3

Solve

x + 5 = 0 : x = - 5

The solutions are

x = - 2, x = 3, x = - 5

z^{4} = 3

z^{4} = 2

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

y, x = 5 - (2 y)^{3}

6 x^{4} + x^{2} = 15

What are the solutions to the equation x^3+4x^2-11x-30=0 ?
The solutions to the equation x^3+4x^2-11x-30=0 are x=-2,x=3,x=-5
Find the zeros of x^3+4x^2-11x-30=0
The zeros of x^3+4x^2-11x-30=0 are x=-2,x=3,x=-5