What are the solutions to the equation x^4+8x^3+17x^2-2x-24=0 ?

The solutions to the equation x^4+8x^3+17x^2-2x-24=0 are x=1,x=-2,x=-3,x=-4

Find the zeros of x^4+8x^3+17x^2-2x-24=0

The zeros of x^4+8x^3+17x^2-2x-24=0 are x=1,x=-2,x=-3,x=-4

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x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 = 0

x = 1, x = - 2, x = - 3, x = - 4

Solution steps

x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 = 0

Factor

x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 : (x - 1) (x + 2) (x + 3) (x + 4)

(x - 1) (x + 2) (x + 3) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0 or x + 3 = 0 or x + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x + 3 = 0 : x = - 3

Solve

x + 4 = 0 : x = - 4

The solutions are

x = 1, x = - 2, x = - 3, x = - 4

3 m^{3} - 12 m = 0

x^{3} - 4 x^{2} + 19 x + 5 = 0

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

h^{3} = 64

\frac{( 35 x - 50 )}{5} = 2 x^{15}

What are the solutions to the equation x^4+8x^3+17x^2-2x-24=0 ?
The solutions to the equation x^4+8x^3+17x^2-2x-24=0 are x=1,x=-2,x=-3,x=-4
Find the zeros of x^4+8x^3+17x^2-2x-24=0
The zeros of x^4+8x^3+17x^2-2x-24=0 are x=1,x=-2,x=-3,x=-4