What is the degree of the polynomial P(x)?

 $P\left(x\right)=3x^4-6x^2+x-9$  

What is the leading coefficient of the polynomial P(x)?

 $P\left(x\right)=3x^4-6x^2+x-9$  

The polynomial  $P\left(x\right)$  has degree 2. What is the degree of  $\left(P\left(x\right)\right)^3$  ?

Find the coefficient of  $x^2$  in the polynomial 
 $\left(x^2+2\right)\left(x^3+3x^2-6\right)$ .

When the polynomial 
 $\left(x^2-2\right)\left(x^3+3x^2-6\right)$ is divided by  $\left(x-2\right)$  what is the remainder?