x^3+4x^2+6x+4 - Wolfram|Alpha

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Input

x^3 + 4 x^2 + 6 x + 4

Plot

Plot

Plot

Alternate form

(x + 2) (x^2 + 2 x + 2)

(x + 2) (x (x + 2) + 2)

x (x (x + 4) + 6) + 4

Real root

x = -2

Complex roots

x = -1 - i

x = -1 + i

Roots in the complex plane

Roots in the complex plane

Polynomial discriminant

Δ = -16

Properties as a real function

Domain

R (all real numbers)

Range

R (all real numbers)

Bijectivity

bijective from its domain to R

Derivative

d/dx(x^3 + 4 x^2 + 6 x + 4) = 3 x^2 + 8 x + 6

Indefinite integral

integral(x^3 + 4 x^2 + 6 x + 4) dx = x^4/4 + (4 x^3)/3 + 3 x^2 + 4 x + constant

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