Factorise the following quadratic polynomials by splitting the middle term
$6 x^{2}+19 x+10$
$(2 x+5)(3 x+2)$
Factorise
$x^{3}+2 x^{2}-13 x+10$
Factorise :
$2 x^{3}-3 x^{2}-17 x+30$
Evaluate $66 \times 74$ without directly multiplying
Expand the following:
$(3 a-5 b-c)^{2}$
Check whether $p(x)$ is a multiple of $g(x)$ or not, where
$p(x)=x^{3}-x+1, \quad g(x)=2-3 x$