What are the solutions to the equation x^4+2x^3-9x^2-2x+8=0 ?

The solutions to the equation x^4+2x^3-9x^2-2x+8=0 are x=-1,x=1,x=2,x=-4

Find the zeros of x^4+2x^3-9x^2-2x+8=0

The zeros of x^4+2x^3-9x^2-2x+8=0 are x=-1,x=1,x=2,x=-4

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x^{4} + 2 x^{3} - 9 x^{2} - 2 x + 8 = 0

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

Solution steps

x^{4} + 2 x^{3} - 9 x^{2} - 2 x + 8 = 0

Factor

x^{4} + 2 x^{3} - 9 x^{2} - 2 x + 8 : (x + 1) (x - 1) (x - 2) (x + 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x + 4 = 0 : x = - 4

The solutions are

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

- x^{3} - 6 x^{2} + 48 x + 278

2 x^{3} - 11 x^{2} + 12 x + 9

2 x^{4} - x^{3} - 7 x^{2} + x + 2 = 0

x^{4} - 5 x^{2} - 36 = 0

2 x^{3} - 3 x^{2} - 9 x = x^{3} - 2 x^{2} - 3 x

What are the solutions to the equation x^4+2x^3-9x^2-2x+8=0 ?
The solutions to the equation x^4+2x^3-9x^2-2x+8=0 are x=-1,x=1,x=2,x=-4
Find the zeros of x^4+2x^3-9x^2-2x+8=0
The zeros of x^4+2x^3-9x^2-2x+8=0 are x=-1,x=1,x=2,x=-4