(x^3+3x^2+2x-6)/(x-3)

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Solution for (x^3+3x^2+2x-6)/(x-3) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(x^3+3*x^2+2*x-6)/(x-3) = 0

x^3+3*x^2+2*x-6 = 0

x^3+3*x^2+2*x-6 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6 }

1

x = 1

x^3+3*x^2+2*x-6 = 0

1

x-1

x^2+4*x+6

x^3+3*x^2+2*x-6

x-1

x^2-x^3

4*x^2+2*x-6

4*x-4*x^2

6*x-6

6-6*x

0

x^2+4*x+6 = 0

DELTA = 4^2-(1*4*6)

DELTA = -8

DELTA < 0

x in { 1} 

x-1 = 0

(x-1)/(x-3) = 0

x-1 = 0 // + 1

x = 1

x = 1

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