What are the solutions to the equation λ^3-6λ^2+11λ-6=0 ?

The solutions to the equation λ^3-6λ^2+11λ-6=0 are λ=1,λ=2,λ=3

Find the zeros of λ^3-6λ^2+11λ-6=0

The zeros of λ^3-6λ^2+11λ-6=0 are λ=1,λ=2,λ=3

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λ^{3} - 6 λ^{2} + 11 λ - 6 = 0

λ = 1, λ = 2, λ = 3

Solution steps

λ^{3} - 6 λ^{2} + 11 λ - 6 = 0

Factor

λ^{3} - 6 λ^{2} + 11 λ - 6 : (λ - 1) (λ - 2) (λ - 3)

(λ - 1) (λ - 2) (λ - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

λ - 1 = 0 or λ - 2 = 0 or λ - 3 = 0

Solve

λ - 1 = 0 : λ = 1

Solve

λ - 2 = 0 : λ = 2

Solve

λ - 3 = 0 : λ = 3

The solutions are

λ = 1, λ = 2, λ = 3

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

x^{4} - 10 x^{2} + 1 = 0

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

(x^{2} + 3 x + 4) (x^{2} - 1) = 0

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

What are the solutions to the equation λ^3-6λ^2+11λ-6=0 ?
The solutions to the equation λ^3-6λ^2+11λ-6=0 are λ=1,λ=2,λ=3
Find the zeros of λ^3-6λ^2+11λ-6=0
The zeros of λ^3-6λ^2+11λ-6=0 are λ=1,λ=2,λ=3