Write the coefficients of $x^2$ in each of the following :
$(i)$ $\frac{\pi}{2} x^{2}+x$ $ (ii)$ $\sqrt{2} x-1$
$\frac{\pi}{2}$ and $0$
$\pi $ and $0$
$2$ and $0$
$\frac{\pi}{2}$ and $\pi $
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $5+2 x$.
Give one example each of a binomial of degree $35 $, and of a monomial of degree $100 $.
Factorise : $49 a^{2}+70 a b+25 b^{2}$
Expand each of the following, using suitable identities : $(2 x-y+z)^{2}$
Factorise : $4 x^{2}+9 y^{2}+16 z^{2}+12 x y-24 y z-16 x z$