Let q(x)=53x−109.
(i) Find the zero of q(x).
(ii) The polynomial r(x)=53x−c has the same zero as q(x). Determine the value of the constant c.
(iii) Construct a new linear polynomial s(x) whose zero is twice that of q(x) and whose coefficient of x is −4. Write s(x) in standard form.