What are the solutions to the equation roots x^4+x^3-11x^2-9x+18 ?

The solutions to the equation roots x^4+x^3-11x^2-9x+18 are x=1,x=-2,x=-3,x=3

Find the zeros of roots x^4+x^3-11x^2-9x+18

The zeros of roots x^4+x^3-11x^2-9x+18 are x=1,x=-2,x=-3,x=3

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roots

x^{4} + x^{3} - 11 x^{2} - 9 x + 18

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

Solution steps

x^{4} + x^{3} - 11 x^{2} - 9 x + 18

The roots are the intercepts with the x-axis

(y = 0)

x^{4} + x^{3} - 11 x^{2} - 9 x + 18 = 0

Factor

x^{4} + x^{3} - 11 x^{2} - 9 x + 18 : (x - 1) (x + 2) (x + 3) (x - 3)

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

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

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

x^{4} + 2 x^{2} - 63 = 0

(2 x^{2} + 7 x - 8) (2 x^{2} + 7 x - 3) - 6 = 0

16 x^{3} + 28 x^{2} = 0

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

m, 17 n^{2} + 29 m^{3} = 5492346

What are the solutions to the equation roots x^4+x^3-11x^2-9x+18 ?
The solutions to the equation roots x^4+x^3-11x^2-9x+18 are x=1,x=-2,x=-3,x=3
Find the zeros of roots x^4+x^3-11x^2-9x+18
The zeros of roots x^4+x^3-11x^2-9x+18 are x=1,x=-2,x=-3,x=3