Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by

$x-1$

Factorise $: 121 x^{2}-289 y^{2}$

Evaluate using suitable identities : $(998)^{3}$

Multiply $x^{2}+4 y^{2}+z^{2}+2 x y+x z-2 y z$ by $(-z+x-2 y)$

By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$