What are the solutions to the equation factor r^3-r^2-r+1=0 ?

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

Find the zeros of factor r^3-r^2-r+1=0

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

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factor

r^{3} - r^{2} - r + 1 = 0

r = 1, r = - 1

Solution steps

r^{3} - r^{2} - r + 1 = 0

Factor

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

(r - 1)^{2} (r + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r - 1 = 0 or r + 1 = 0

Solve

r - 1 = 0 : r = 1

Solve

r + 1 = 0 : r = - 1

The solutions are

r = 1, r = - 1

3 (4 x - 3)^{4} = 1875

r^{4} - 2 r^{3} + r^{2} = 0

r^{3} - 5 r^{2} + 3 r + 9 = 0

x^{5} - 10 x^{3} - 20 x^{2} - 15 x - 4 = 0

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

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