What are the solutions to the equation factor m^3-m^2+8m-8=0 ?

The solutions to the equation factor m^3-m^2+8m-8=0 are m=1,m=2sqrt(2)i,m=-2sqrt(2)i

Find the zeros of factor m^3-m^2+8m-8=0

The zeros of factor m^3-m^2+8m-8=0 are m=1,m=2sqrt(2)i,m=-2sqrt(2)i

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factor

m^{3} - m^{2} + 8 m - 8 = 0

m = 1, m = 22 i, m = - 22 i

Solution steps

m^{3} - m^{2} + 8 m - 8 = 0

Factor

m^{3} - m^{2} + 8 m - 8 : (m - 1) (m^{2} + 8)

(m - 1) (m^{2} + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m - 1 = 0 or m^{2} + 8 = 0

Solve

m - 1 = 0 : m = 1

Solve

m^{2} + 8 = 0 : m = 22 i, m = - 22 i

The solutions are

m = 1, m = 22 i, m = - 22 i

z^{4} = 82 + 82 i

0 = x^{3} - 5 x^{2} - x + 5

x^{3} - 7 x^{2} + 4 x + 30 = 0

2 x^{4} + 5 x^{2} + 2 = 0

3 x^{3} + 4 x^{2} + 5 x - 6 = 0

What are the solutions to the equation factor m^3-m^2+8m-8=0 ?
The solutions to the equation factor m^3-m^2+8m-8=0 are m=1,m=2sqrt(2)i,m=-2sqrt(2)i
Find the zeros of factor m^3-m^2+8m-8=0
The zeros of factor m^3-m^2+8m-8=0 are m=1,m=2sqrt(2)i,m=-2sqrt(2)i