What are the solutions to the equation D^4+2D^3-11D^2-12D=0 ?

The solutions to the equation D^4+2D^3-11D^2-12D=0 are D=0,D=-1,D=3,D=-4

Find the zeros of D^4+2D^3-11D^2-12D=0

The zeros of D^4+2D^3-11D^2-12D=0 are D=0,D=-1,D=3,D=-4

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D^{4} + 2 D^{3} - 11 D^{2} - 12 D = 0

D = 0, D = - 1, D = 3, D = - 4

Solution steps

D^{4} + 2 D^{3} - 11 D^{2} - 12 D = 0

Factor

D^{4} + 2 D^{3} - 11 D^{2} - 12 D : D (D + 1) (D - 3) (D + 4)

D (D + 1) (D - 3) (D + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

D = 0 or D + 1 = 0 or D - 3 = 0 or D + 4 = 0

Solve

D + 1 = 0 : D = - 1

Solve

D - 3 = 0 : D = 3

Solve

D + 4 = 0 : D = - 4

The solutions are

D = 0, D = - 1, D = 3, D = - 4

x, x^{3} - y^{5} = 0

4 (5 x^{9}) = 5

x^{6} + 6 x^{4} + 9 x^{2} + 4 = 0

y^{4} - 26 y^{2} + 25 = 0

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

What are the solutions to the equation D^4+2D^3-11D^2-12D=0 ?
The solutions to the equation D^4+2D^3-11D^2-12D=0 are D=0,D=-1,D=3,D=-4
Find the zeros of D^4+2D^3-11D^2-12D=0
The zeros of D^4+2D^3-11D^2-12D=0 are D=0,D=-1,D=3,D=-4