Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials
$p(x)=x^{2}-3 x+2$
$p(1)=0, p(2)=0, p(4)=6$
Expand
$(3 a-4)^{2}$
With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors
$x+6$
Factorise $: x^{3}+x^{2}-26 x+24$
Evaluate the following using suitable identities
$(105)^{3}$
Without finding the cubes, factorise
$(x-2 y)^{3}+(2 y-3 z)^{3}+(3 z-x)^{3}$
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