Expand $(3a - 4)^2$.

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 $x + 2$.

From the following polynomials,find out which of them has $(x+1)$ as a factor:
$x^{3} + 10x^{2} + 23x + 14$

Without actually calculating the cubes,find the value of each of the following:
$(31)^{3} - (16)^{3} - (15)^{3}$

Find $p(1)$,$p(2)$,and $p(4)$ for the polynomial $p(x) = x^3 + 9x^2 + 23x + 15$.

Expand $(2x - 7)(2x - 5)$.