What are the solutions to the equation m^5+5m^4-2m^3-10m^2+m+5=0 ?

The solutions to the equation m^5+5m^4-2m^3-10m^2+m+5=0 are m=-1,m=1,m=-5

Find the zeros of m^5+5m^4-2m^3-10m^2+m+5=0

The zeros of m^5+5m^4-2m^3-10m^2+m+5=0 are m=-1,m=1,m=-5

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m^{5} + 5 m^{4} - 2 m^{3} - 10 m^{2} + m + 5 = 0

m = - 1, m = 1, m = - 5

Solution steps

m^{5} + 5 m^{4} - 2 m^{3} - 10 m^{2} + m + 5 = 0

Factor

m^{5} + 5 m^{4} - 2 m^{3} - 10 m^{2} + m + 5 : (m + 1)^{2} (m - 1)^{2} (m + 5)

(m + 1)^{2} (m - 1)^{2} (m + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m + 1 = 0 or m - 1 = 0 or m + 5 = 0

Solve

m + 1 = 0 : m = - 1

Solve

m - 1 = 0 : m = 1

Solve

m + 5 = 0 : m = - 5

The solutions are

m = - 1, m = 1, m = - 5

(x - 1)^{4} - (x - 1)^{2} - 12 = 0

x, (x^{2} + y^{2})^{3} = y^{4}

x (x - 3) (x - 2) = 72

x^{3} + x^{2} + x + 1

x^{3} + 3 x^{2} - 4

What are the solutions to the equation m^5+5m^4-2m^3-10m^2+m+5=0 ?
The solutions to the equation m^5+5m^4-2m^3-10m^2+m+5=0 are m=-1,m=1,m=-5
Find the zeros of m^5+5m^4-2m^3-10m^2+m+5=0
The zeros of m^5+5m^4-2m^3-10m^2+m+5=0 are m=-1,m=1,m=-5