What are the solutions to the equation -x^3+6x^2+15x+8=0 ?

The solutions to the equation -x^3+6x^2+15x+8=0 are x=-1,x=8

Find the zeros of -x^3+6x^2+15x+8=0

The zeros of -x^3+6x^2+15x+8=0 are x=-1,x=8

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- x^{3} + 6 x^{2} + 15 x + 8 = 0

x = - 1, x = 8

Solution steps

- x^{3} + 6 x^{2} + 15 x + 8 = 0

Factor

- x^{3} + 6 x^{2} + 15 x + 8 : - (x + 1)^{2} (x - 8)

- (x + 1)^{2} (x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 8 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 8 = 0 : x = 8

The solutions are

x = - 1, x = 8

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

2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)

- 2 x^{3} = 32 x

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

27 x^{3} - 1 = 0

What are the solutions to the equation -x^3+6x^2+15x+8=0 ?
The solutions to the equation -x^3+6x^2+15x+8=0 are x=-1,x=8
Find the zeros of -x^3+6x^2+15x+8=0
The zeros of -x^3+6x^2+15x+8=0 are x=-1,x=8