What are the solutions to the equation roots r^3-r^2-r+1 ?

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

Find the zeros of roots r^3-r^2-r+1

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

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roots

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

r = 1, r = - 1

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

x^{4} - 729 x

7 x^{2} - 144 = - x^{4}

x^{3} - 13 x^{2} + 52 x - 60 = 0

- x^{3} + 14 x^{2} - 59 x + 70 = 0

y, 4 x^{3} - 16 y = 0

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