Answer the following questions about the factorisation of cubic polynomials.
a. (i) State the Factor Theorem.
b. (ii) Let q(x)=x3+5x2+8x+4. Explain why the value x=−2 being a zero of q(x) guarantees that (x+2) divides q(x).
c. (iii) Verify that (x+2) is indeed a factor of q(x) and write q(x) in completely factorised form.