Verify whether $2$ and $5$ are zeros of the polynomial $x^{2}-2 x-15$ or not.

If $p(-3)=0,$ then one of the factors of $p(x)$ is………

Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not

$x^{2}-15 x+50$

Without actually calculating the cubes, find the value of each of the following

$(14)^{3}+(27)^{3}-(41)^{3}$

On dividing $p(x)=3 x^{3}-6 x^{2}+5 x-10$ by $(x-2),$ find the remainder.