to support the following statements. If the statement can't be supported by the definition, show this.

Let

T

$($

n

$)$

$=$

$3$

n

$3$

$+$

$5$

n

$2$

$$

n

$+$

$17$

n

$$

n

$+$

$12$

$$

n

Show that

T

$($

n

$)$

in

O

$($

n

$3$

$)$

Show that

T

$($

n

$)$

in

$\backslash$Omega

$($

n

$3$

$)$