Question

Consider the division of 4h2 + 2h + 6 by 2h.







What are the values of A and B?

A = 2 and B = 1
A = 2h and B = 1
A = and B =
A = and B =

Answer 1

We want A and B so that 4h^2 + 2h + 6 = (2h)·A + B with deg(B) < deg(2h).

Take A = 2h + 1, then (2h)(2h+1) = 4h^2 + 2h, so B = 6.

Thus A = 2h + 1 and B = 6.