A polynomial p(x)=3x3−4x2+7x−2 is given.
a. (i) State the Remainder Theorem.
b. (ii) Find the remainder when p(x) is divided by (x−3).
c. (iii) Verify your answer to part (ii) by direct substitution in p(x).
d. (iv) Is (x−3) a factor of p(x)? Give a reason for your answer.