Question

can x-1 be the remainder on division of a polynomial p(x) by x+3 ? justify your answer please it is urgent ​

Answer 1

Answer:

Step-by-step explanation:

Division algorithm stated that a polynomial f(x) can written as

  f(x)=g(x)q+r     where q and r are unique integer and 0<=r<g(x).

Here,

g(x)=x+3 and r(x)=x−1

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

Here, the degree of remainder is 1 and the degree of divisor is 1, which is not possible. Thus, (x−1) cannot be the remainder of p(x) when divided by (x+3)