Question

can (x-2) be the remainder on division of a polynomial p(x) by (2x+3)?justify

Answer 1

Yes, because (x-2) and (2x+3) don't have the same roots

Answer 2

the degree of your remainder must be less than 2x + 3 so i say no

Answer 3

? why should it? He just said any polynome P, he didn't specify its degree

Answer 4

he/she asked if x-2 can be a remainder...if it is a remainder then it'll be P(x) + \(\large \frac{x-2}{2x+3}\) and that can still be divided

Answer 5

sorry, true

Answer 6

glad to clear that misunderstanding :)