Find the value of the polynomial $x^{2}-7x+12$ at $x=4$.

Classify the following as linear,quadratic,or cubic polynomial: $35x^{2} - 16x - 12$.

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 $g(x) = 2x - 1$.

From the following polynomials,find out which of them has $(x-1)$ as a factor:
$x^{3}+6x^{2}-9x-14$

Evaluate the following product without multiplying directly:
$78 \times 84$

If $(x-1)$ is a factor of $x^{3}+7x^{2}+ax-3$,then find the value of $a$.