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

The solutions to the equation t^3-3t^2+2t=0 are t=0,t=1,t=2

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

The zeros of t^3-3t^2+2t=0 are t=0,t=1,t=2

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t^{3} - 3 t^{2} + 2 t = 0

t = 0, t = 1, t = 2

Solution steps

t^{3} - 3 t^{2} + 2 t = 0

Factor

t^{3} - 3 t^{2} + 2 t : t (t - 1) (t - 2)

t (t - 1) (t - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t - 1 = 0 or t - 2 = 0

Solve

t - 1 = 0 : t = 1

Solve

t - 2 = 0 : t = 2

The solutions are

t = 0, t = 1, t = 2

2 (3 x + 4) (x^{2} - 16) = 0

y^{3} = 4

x^{3} + 9 x^{2} + 32 x + 32 = 0

x^{4} - 10 x^{3} + 35 x^{2} - 50 x + 64 = 0

x^{3} - 3 x^{2} - 6 x + 10 = 0

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