Answer the following questions on the topic of polynomial division.
(a) State the Division Algorithm for polynomials.
(b) Explain why the degree of the remainder obtained on dividing any non-zero polynomial by another non-zero polynomial must always be less than the degree of the divisor.
(c) Illustrate your explanation in part (b) by dividing x3−2x2+4x−5 by x−1, and clearly indicate the degree of the remainder obtained.