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

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

Find the zeros of m^3+6m^2+11m+6=0

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

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m^{3} + 6 m^{2} + 11 m + 6 = 0

m = - 1, m = - 2, m = - 3

Solution steps

m^{3} + 6 m^{2} + 11 m + 6 = 0

Factor

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

(m + 1) (m + 2) (m + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m + 1 = 0 or m + 2 = 0 or m + 3 = 0

Solve

m + 1 = 0 : m = - 1

Solve

m + 2 = 0 : m = - 2

Solve

m + 3 = 0 : m = - 3

The solutions are

m = - 1, m = - 2, m = - 3

x^{4} - 25 x^{2} + 144 = 0

(3 x + 1)^{3} = - 27

(1 - x)^{5} = \frac{7}{10}

x^{3} - 64 = 0

x^{5} + x - 1 = 0

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