Evaluate $66 \times 74$ without directly multiplying.

Which one of the following is a polynomial?

Is $(x-1)$ a factor of $3x^2 + 7x - 10$?

Without finding the cubes,factorise $(x-2 y)^{3}+(2 y-3 z)^{3}+(3 z-x)^{3}$.

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

Find $p(1)$,$p(2)$,and $p(4)$ for the following polynomial: $p(y) = y^{2} - 5y + 4$.