Expand: $(x+3y-5z)^{2}$

Evaluate the following using suitable identities:
$(107)^{2}$

Factorise $8x^{3} - 26x^{2} + 13x + 5$.

The polynomial $p(x) = x^{4} - 2x^{3} + 3x^{2} - ax + 3a - 7$ when divided by $x + 1$ leaves the remainder $19$. Find the value of $a$. Also,find the remainder when $p(x)$ is divided by $x + 2$.

The zero of the polynomial $p(x) = bx + m$ is $\ldots \ldots \ldots$

By the Remainder Theorem,find the remainder when $p(x)$ is divided by $g(x)$,where $p(x) = 4x^3 - 12x^2 + 14x - 3$ and $g(x) = 2x - 1$.