Let h(x)=6x3−5x2+4x−9.
(a) Divide h(x) by x−23 and write the quotient and the remainder.
(b) Without performing any further division, calculate h(23) and compare it with the remainder obtained in part (a).
(c) On the basis of your work in parts (a) and (b), state the relationship between the remainder on dividing a polynomial by x−a and the value of the polynomial at x=a.