Write whether the following statements are True or False. Justify your answer.

$\frac{1}{\sqrt{5}} x^{\frac{1}{2}}+1$ is a polynomial

Factorise

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

Find the zeroes of the polynomial in each of the following:

$q(x)=2 x-7$

Classify the following as a constant, linear,quadratic and cubic polynomials:

$2+x$

Factorise the following:

$25 x^{2}+16 y^{2}+4 z^{2}-40 x y+16 y z-20 x z$

Factorise

$9 x^{2}+42 x+49$