Question

Can (x-1) be the remainder on division of a polynomial p(x) by (2x+1)? Justify your answer.

Answer 1

Answer:

Step-by-step explanation:

No.

Because the polynomial can be written as p(x)=s(x)q+r

Here s(x) = 2x+1 and r= x-1.

The power if the remainder is always less than the power of the divisor.

Here the the remainder and the power of the divisor is same. That is power is 1. This is impossible.

Thus, (x−1) cannot be the remainder of p(x) when divided by (2x+1)