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D( x )
x+1 = 0
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-1) U (-1:+oo)
(3*x^3-(16*x^2)+12*x+16)/(x+1) = 0
(3*x^3-16*x^2+12*x+16)/(x+1) = 0
3*x^3-16*x^2+12*x+16 = 0
3*x^3-16*x^2+12*x+16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
3*x^3-16*x^2+12*x+16 = 15
1
-1
x = -1
3*x^3-16*x^2+12*x+16 = -15
-1
2
x = 2
3*x^3-16*x^2+12*x+16 = 0
2
x-2
3*x^2-10*x-8
3*x^3-16*x^2+12*x+16
x-2
6*x^2-3*x^3
12*x-10*x^2+16
10*x^2-20*x
16-8*x
8*x-16
0
3*x^2-10*x-8 = 0
DELTA = (-10)^2-(-8*3*4)
DELTA = 196
DELTA > 0
x = (196^(1/2)+10)/(2*3) or x = (10-196^(1/2))/(2*3)
x = 4 or x = -2/3
x in { -2/3, 4, 2}
(x+2/3)*(x-4)*(x-2) = 0
((x+2/3)*(x-4)*(x-2))/(x+1) = 0
( x+2/3 )
x+2/3 = 0 // - 2/3
x = -2/3
( x-2 )
x-2 = 0 // + 2
x = 2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -2/3, 2, 4 }
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