(4X^3+12X^2+11X+6)/(2X+1)

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Solution for (4X^3+12X^2+11X+6)/(2X+1) equation:


D( X )

2*X+1 = 0

2*X+1 = 0

2*X+1 = 0

2*X+1 = 0 // - 1

2*X = -1 // : 2

X = -1/2

X in (-oo:-1/2) U (-1/2:+oo)

(4*X^3+12*X^2+11*X+6)/(2*X+1) = 0

4*X^3+12*X^2+11*X+6 = 0

4*X^3+12*X^2+11*X+6 = 0

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

1

X = 1

4*X^3+12*X^2+11*X+6 = 33

1

-1

X = -1

4*X^3+12*X^2+11*X+6 = 3

-1

2

X = 2

4*X^3+12*X^2+11*X+6 = 108

2

-2

X = -2

4*X^3+12*X^2+11*X+6 = 0

-2

X+2

4*X^2+4*X+3

4*X^3+12*X^2+11*X+6

X+2

-4*X^3-8*X^2

4*X^2+11*X+6

-4*X^2-8*X

3*X+6

-3*X-6

0

4*X^2+4*X+3 = 0

DELTA = 4^2-(3*4*4)

DELTA = -32

DELTA < 0

X in { -2}

X+2 = 0

(X+2)/(2*X+1) = 0

X+2 = 0 // - 2

X = -2

X = -2

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