What are the solutions to the equation t^3+4t^2-44t-96=0 ?

The solutions to the equation t^3+4t^2-44t-96=0 are t=-2,t=6,t=-8

Find the zeros of t^3+4t^2-44t-96=0

The zeros of t^3+4t^2-44t-96=0 are t=-2,t=6,t=-8

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t^{3} + 4 t^{2} - 44 t - 96 = 0

t = - 2, t = 6, t = - 8

Solution steps

t^{3} + 4 t^{2} - 44 t - 96 = 0

Factor

t^{3} + 4 t^{2} - 44 t - 96 : (t + 2) (t - 6) (t + 8)

(t + 2) (t - 6) (t + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t + 2 = 0 or t - 6 = 0 or t + 8 = 0

Solve

t + 2 = 0 : t = - 2

Solve

t - 6 = 0 : t = 6

Solve

t + 8 = 0 : t = - 8

The solutions are

t = - 2, t = 6, t = - 8

3 (x^{3} - x) = 0

4 x^{4} - 25 x^{2} + 36 = 0

x^{3} - 2 x + 2

x^{4} - 13 x^{2} + 36 = 0

x^{5} + 10 x + 3 = 0

What are the solutions to the equation t^3+4t^2-44t-96=0 ?
The solutions to the equation t^3+4t^2-44t-96=0 are t=-2,t=6,t=-8
Find the zeros of t^3+4t^2-44t-96=0
The zeros of t^3+4t^2-44t-96=0 are t=-2,t=6,t=-8