Answer the following with reference to polynomials.
a. (i) State the Factor Theorem for a polynomial in one variable.
b. (ii) For the polynomial f(x)=x3−2x2−5x+6, verify that x=3 is a zero of the polynomial.
c. (iii) Using the result of part (ii), explain why f(x) can be expressed in the form (x−3)q(x), where q(x) is a quadratic polynomial.