Find the value of $k$,if $x - 1$ is a factor of $p(x)$ in this case: $p(x) = kx^2 - 3x + k$.

Find $p(0)$,$p(1)$,and $p(2)$ for the following polynomial: $p(x) = (x - 1)(x + 1)$.

Give one example each of a binomial of degree $35$ and of a monomial of degree $100$.

Find $p(0)$,$p(1)$,and $p(2)$ for the following polynomial: $p(t) = 2 + t + 2t^2 - t^3$.

Factorise: $49 a^{2}+70 a b+25 b^{2}$

Verify whether the following are zeroes of the polynomial indicated against them:
$p(x) = 3x^2 - 1, x = -\frac{1}{\sqrt{3}}, \frac{2}{\sqrt{3}}$