Question:
Can (x − 2) be the remainder on division of a polynomial p(x) by (2x + 3)? Justify your answer.
Solution:
If we divide any polynomial by another polynomial, then the degree of divisor is always greater than the degree of remainder.
In the given question the degrees of remainder (x−2) and divisor (2x+3) are same
Therefore if we divide the polynomial P(x) by (2x+3), then (x−2) cannot be the remainder