(x^3+7x^2+11x+5)/(x+1)

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Solution for (x^3+7x^2+11x+5)/(x+1) equation: 


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

(x^3+7*x^2+11*x+5)/(x+1) = 0

x^3+7*x^2+11*x+5 = 0

x^3+7*x^2+11*x+5 = 0

{ 1, -1, 5, -5 }

1

x = 1

x^3+7*x^2+11*x+5 = 24

1

-1

x = -1

x^3+7*x^2+11*x+5 = 0

-1

x+1

x^2+6*x+5

x^3+7*x^2+11*x+5

x+1

-x^3-x^2

6*x^2+11*x+5

-6*x^2-6*x

5*x+5

-5*x-5

0

x^2+6*x+5 = 0

DELTA = 6^2-(1*4*5)

DELTA = 16

DELTA > 0

x = (16^(1/2)-6)/(1*2) or x = (-16^(1/2)-6)/(1*2)

x = -1 or x = -5

x in { -5, -1, -1} 

(x+5)*(x+1)^2 = 0

(x+5)*(x+1) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -1} 

x = -5

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