Classify the following as a constant,linear,quadratic,or cubic polynomial:
$\sqrt{2} x - 1$

Factorise the following:
$9 x^{2}+4 y^{2}+16 z^{2}+12 x y-16 y z-24 x z$

Give possible expressions for the length and breadth of a rectangle whose area is given as $(20 x^{2}+22 x+6)$ square units,where $(x > 0)$.

Write the following cube in expanded form:
$(7x - 4y)^{3}$

Expand the following:
$(-x+2y-3z)^{2}$

Which of the following expressions are polynomials in one variable and which are not? State reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not: $x^{3}+y^{3}+z^{3}-3xyz$