Divide the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

$\left(y^3-216\right)÷\left(y-6\right)$

Divide the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

$\left(2x^4+3x^3-2x^2+4x\right)÷\left(x-3\right)$

Divide the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

$\left(x^4-3x^2-8\right)÷\left(x+4\right)$

Divide the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

$\left(y^3-3y^2+5y-1\right)÷\left(y-1\right)$

For $x=0$, find the value of the polynomial $x^2-5x+5$

If $p\left(m\right)=m^3+2m^2-m+10$ then $p\left(a\right)+p(-a)$=?

If $p\left(y\right)=2y^3-6y^2-5y+7$ then find $p\left(2\right)$.

Find the value of the polynomial $2x-2x^3+7$ for the value of $x=3$