What are the solutions to the equation x^3+3x^2-13x-15=0 ?

The solutions to the equation x^3+3x^2-13x-15=0 are x=-1,x=3,x=-5

Find the zeros of x^3+3x^2-13x-15=0

The zeros of x^3+3x^2-13x-15=0 are x=-1,x=3,x=-5

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x^{3} + 3 x^{2} - 13 x - 15 = 0

x = - 1, x = 3, x = - 5

Solution steps

x^{3} + 3 x^{2} - 13 x - 15 = 0

Factor

x^{3} + 3 x^{2} - 13 x - 15 : (x + 1) (x - 3) (x + 5)

(x + 1) (x - 3) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 3 = 0 or x + 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 3 = 0 : x = 3

Solve

x + 5 = 0 : x = - 5

The solutions are

x = - 1, x = 3, x = - 5

x^{3} + 2 x^{2} - 8 x = 16

2 x (x^{2} - 3) = 0

16 x^{4} - 32 x^{3} + 24 x^{2} - 8 x + 1 = 0

x^{3} = 6 x^{2} + 3 x + 10

5 = k^{6}

What are the solutions to the equation x^3+3x^2-13x-15=0 ?
The solutions to the equation x^3+3x^2-13x-15=0 are x=-1,x=3,x=-5
Find the zeros of x^3+3x^2-13x-15=0
The zeros of x^3+3x^2-13x-15=0 are x=-1,x=3,x=-5