Division Algorithm for Polynomial –
On dividing a polynomial f(x) by a polynomial g(x), let the quotient be a polynomial q(x) and the reminder be a polynomial r(x). Then we have –
f(x) = g(x). q(x) + r(x), where either r(x) = 0 or deg r(x) < deg g(x).
Here, Dividend = f(x); Divisor = g(x); Quotient = q(x), and Reminder = r(x)
Remark.- When a polynomial f(x) is divided by (x – α), then the reminder is a constant, which may be zero or non-zero
Your second block of text...