In the figure below, PQ and RQ are tangents to the circle with centre O and radius 6cm

i) Prove that $△\mathrm{PQR}$ is an equilateral triangle.
ii) Find the length of RP. 

Write a quadratic polynomial whose sum of zeroes is less than that of polynomial 

Shown below is a part of the graph of a polynomial $h\left(x\right)$

On dividing $h\left(x\right)$ by which of the following, the remainder will be zero?

$\left(\mathrm{i}\right) \left(x-2\right)$

$\left(\mathrm{ii}\right) \left(x+2\right)$

$\left(\mathrm{iii}\right) \left(x-4\right)$

$\left(\mathrm{iv}\right) \left(x+4\right)$

Shown below are the parts of graphs of two polynomials, $g\left(x\right)$ and $h\left(x\right)$. When $h\left(x\right)$ is divided by $\left(x-3\right)$, the remainder is $k$

Which of these is true for the remainder when $g\left(x\right)$ is divided by $\left(x-3\right)$?

If $\alpha$ and $\beta$ are the zeroes of polynomial $x^2+8x+6$. Form a polynomial whose zeroes are $\alpha -\beta \text{and} \alpha +\beta$.