Expand

$(3 x+5)^{2}$

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

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

$\ldots \ldots$ is one of the zeros of $p(x)=x^{3}+7 x^{2}+11 x+5$

Factorise

$x^{3}+8 x^{2}+9 x-18$

Factorise :

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

From the following polynomials find out which of them has $(x-1)$ as a factor

$2 x^{3}+5 x^{2}-x-6$