(x^3+3x^2-10x-24)/(x+4)

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Solution for (x^3+3x^2-10x-24)/(x+4) equation: 


D( x )

x+4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x in (-oo:-4) U (-4:+oo)

(x^3+3*x^2-(10*x)-24)/(x+4) = 0

(x^3+3*x^2-10*x-24)/(x+4) = 0

x^3+3*x^2-10*x-24 = 0

x^3+3*x^2-10*x-24 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }

1

x = 1

x^3+3*x^2-10*x-24 = -30

1

-1

x = -1

x^3+3*x^2-10*x-24 = -12

-1

2

x = 2

x^3+3*x^2-10*x-24 = -24

2

-2

x = -2

x^3+3*x^2-10*x-24 = 0

-2

x+2

x^2+x-12

x^3+3*x^2-10*x-24

x+2

-x^3-2*x^2

x^2-10*x-24

-x^2-2*x

-12*x-24

12*x+24

0

x^2+x-12 = 0

DELTA = 1^2-(-12*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(1*2) or x = (-49^(1/2)-1)/(1*2)

x = 3 or x = -4

x in { -4, 3, -2} 

(x+4)*(x-3)*(x+2) = 0

(x-3)*(x+2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -2, 3 }

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