Write the degree of each of the following polynomials :
$(i)$ $5 x^{3}+4 x^{2}+7 x$
$(ii)$ $4-y^{2}$
$2$, $2$
$3$, $3$
$3$, $2$
$2$, $3$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=2 x^{2}+k x+\sqrt{2}$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=lx+m,\,\, x=-\,\frac{m}{l}$
Expand each of the following, using suitable identities : $(2 x-y+z)^{2}$
Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given : $\boxed{\rm {Area}\,:25{a^2} - 35a + 12}$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=x^{2}+x+k$.