Evaluate the following using suitable identities
$(107)^{2}$
$16542$
$11745$
$11449$
$12465$
Factorise $: 49 x^{2}-121$
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 $a$.
Expand the following:
$(3 a-2 b)^{3}$
Classify the following as a constant, linear quadratic and cubic polynomials:
$2-x^{2}+x^{3}$
From the following polynomials find out which of them has $(x+1)$ as a factor
$x^{3}+10 x^{2}+23 x+14$