For the polynomial q(x)=2x3+3x2−11x−6, answer the following.
a. (i) Find the value of q(2).
b. (ii) On the basis of your answer to part (i), explain whether x−2 is a factor of q(x).
c. (iii) Without performing any division, state the remainder when q(x) is divided by x−2 and justify your statement.