(4x^3+13x^2-2x-15)/(x+3)

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Solution for (4x^3+13x^2-2x-15)/(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)

(4*x^3+13*x^2-(2*x)-15)/(x+3) = 0

(4*x^3+13*x^2-2*x-15)/(x+3) = 0

4*x^3+13*x^2-2*x-15 = 0

4*x^3+13*x^2-2*x-15 = 0

{ 1, -1, 3, -3, 5, -5, 15, -15 }

1

x = 1

4*x^3+13*x^2-2*x-15 = 0

1

x-1

4*x^2+17*x+15

4*x^3+13*x^2-2*x-15

x-1

4*x^2-4*x^3

17*x^2-2*x-15

17*x-17*x^2

15*x-15

15-15*x

0

4*x^2+17*x+15 = 0

DELTA = 17^2-(4*4*15)

DELTA = 49

DELTA > 0

x = (49^(1/2)-17)/(2*4) or x = (-49^(1/2)-17)/(2*4)

x = -5/4 or x = -3

x in { -3, -5/4, 1} 

(x+3)*(x+5/4)*(x-1) = 0

(x+5/4)*(x-1) = 0

( x+5/4 )

x+5/4 = 0 // - 5/4

x = -5/4

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -5/4, 1 }

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