Classify the following as linear, quadratic or cubic polynomial

$x^{2}-9 x+14$

Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not

$x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 z x$

Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials

$p(t)=t^{2}-6 t+8$

Classify the following as linear, quadratic or cubic polynomial

$x^{3}+2 x^{2}+3 x+2$

Factorise :

$a^{3}-2 \sqrt{2} b^{3}$