With the help of the remainder theorem. find the remainder when the polynomial $x^{3}+7 x^{2}+17 x+25$ is divided by $x+4$

Write the coefficients of $x^{2}$ in each of the following polynomials

$\sqrt{5} x^{2}-7 x+13$

If $x^{2}-10 x+21=(x+m)(x+n)$ then $m+n=\ldots \ldots \ldots$

Factorise

$x^{2}+4 y^{2}+25 z^{2}+4 x y-20 y z-10 z x$

The following expressions are polynomials? Justify your answer:

$1-\sqrt{5 x}$