What are the solutions to the equation factor r^3-2r^2-5r+6=0 ?

The solutions to the equation factor r^3-2r^2-5r+6=0 are r=1,r=-2,r=3

Find the zeros of factor r^3-2r^2-5r+6=0

The zeros of factor r^3-2r^2-5r+6=0 are r=1,r=-2,r=3

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factor

r^{3} - 2 r^{2} - 5 r + 6 = 0

r = 1, r = - 2, r = 3

Solution steps

r^{3} - 2 r^{2} - 5 r + 6 = 0

Factor

r^{3} - 2 r^{2} - 5 r + 6 : (r - 1) (r + 2) (r - 3)

(r - 1) (r + 2) (r - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r - 1 = 0 or r + 2 = 0 or r - 3 = 0

Solve

r - 1 = 0 : r = 1

Solve

r + 2 = 0 : r = - 2

Solve

r - 3 = 0 : r = 3

The solutions are

r = 1, r = - 2, r = 3

y, x = y^{3} + 5

3 x^{2} - 4 x^{3} + 12 x = 0

x^{3} - 21 x - 20 = 0

y^{4} - 17 y^{2} + 16 = 0

4 x^{4} - 9 x^{2} = 0

What are the solutions to the equation factor r^3-2r^2-5r+6=0 ?
The solutions to the equation factor r^3-2r^2-5r+6=0 are r=1,r=-2,r=3
Find the zeros of factor r^3-2r^2-5r+6=0
The zeros of factor r^3-2r^2-5r+6=0 are r=1,r=-2,r=3