Evaluate $66 \times 74$ without directly multiplying.

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

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^3 + x^2 - 26x + 24$ is divided by the divisor $x + 1$.

With the help of the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 4$.

If $(5x - 3)^2 = 25x^2 + kx + 9$,then find $k$.

Factors of $x^{2}-23x+120$ are.........