If $p(x)=x+3,$ then $p(x)+p(-x)$ is equal to
Verify whether the following are True or False:
$0$ and $2$ are the zeroes of $t^{2}-2 t.$
Verify whether the following are True or False:
$\frac{-4}{5}$ is a zero of $4-5 y$
If the polynomials $a z^{3}+4 z^{2}+3 z-4$ and $z^{3}-4 z+a$ leave the same remainder when divided by $z-3,$ find the value of $a$.
Prove that $(a+b+c)^{3}-a^{3}-b^{3}-c^{3}=3(a+b)(b+c)(c+a).$