What is the R(x)=(x+3n)(x-3n)(x^2+9n^2)+81n^4 ?

The R(x)=(x+3n)(x-3n)(x^2+9n^2)+81n^4 is

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R(x)=(x+3n)(x-3n)(x^2+9n^2)+81n^4

R (x) = (x + 3 n) (x - 3 n) (x^{2} + 9 n^{2}) + 81 n^{4}

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0)

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(x + 3 n) (x - 3 n) (x^{2} + 9 n^{2}) + 81 n^{4} : - \infty < x < \infty

Range of

(x + 3 n) (x - 3 n) (x^{2} + 9 n^{2}) + 81 n^{4} : f (x) \geq 0

Axis interception points of

(x + 3 n) (x - 3 n) (x^{2} + 9 n^{2}) + 81 n^{4} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(x + 3 n) (x - 3 n) (x^{2} + 9 n^{2}) + 81 n^{4} :

None

Extreme Points of

(x + 3 n) (x - 3 n) (x^{2} + 9 n^{2}) + 81 n^{4} :

Minimum

(0, 0)

f (x) = (3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3}

f (x) = \frac{2 - x}{x + 2}

f (x) = \frac{2 - x}{x + 1}

f (t) = t^{2} cos (2 t)

What is the R(x)=(x+3n)(x-3n)(x^2+9n^2)+81n^4 ?
The R(x)=(x+3n)(x-3n)(x^2+9n^2)+81n^4 is