From the following polynomials find out which of them has $(x+1)$ as a factor

$x^{3}-2 x^{2}-5 x+6$

Give possible expressions for the length and breadth of a rectangle whose area is given as $\left(20 x^{2}+22 x+6\right)$ square units. $(x>0)$

Evaluate

$(1002)^{2}$

Factorise

$x^{2}+\frac{y^{2}}{4}+\frac{z^{2}}{16}+x y+\frac{y z}{4}+\frac{z x}{2}$

Is $(x-1)$ is a factor of $3 x^{2}+7 x-10 ?$