When a polynomial p(x) is divided by (2x + 1), is it possible to have (x - 1) as a remainder? Justify your answer.

Question

Philoid · Accepted Answer

No, because degree of remainder cannot be equal to the degree of divisor

And in this case degree of divisor, i.e. 2x + 1 = 1

And degree of remainder, i.e. x -1 = 1 is equal.